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Finding the Third Proportional to 133,380 and 288,903.38

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Solution

The third proportional to 133,380 and 288,903.38 is: 625,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,380 : 288,903.38 = 288,903.38 : x
  2. Step 2: Convert to fraction form
    133,380/288,903.38 = 288,903.38/x
  3. Step 3: Cross multiply
    133,380x = 288,903.38 × 288,903.38
  4. Step 4: Simplify right side
    133,380x = 83,465,160,086.39
  5. Step 5: Solve for x
    x = 83,465,160,086.39/133,380
  6. Step 6: Final answer
    x = 625,769.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.