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Finding the Third Proportional to 251,816.06 and 540,903.38

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Solution

The third proportional to 251,816.06 and 540,903.38 is: 1,161,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,816.06 : 540,903.38 = 540,903.38 : x
  2. Step 2: Convert to fraction form
    251,816.06/540,903.38 = 540,903.38/x
  3. Step 3: Cross multiply
    251,816.06x = 540,903.38 × 540,903.38
  4. Step 4: Simplify right side
    251,816.06x = 292,576,461,086.39
  5. Step 5: Solve for x
    x = 292,576,461,086.39/251,816.06
  6. Step 6: Final answer
    x = 1,161,865.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.