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Finding the Third Proportional to 166,053.38 and 251,046

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Solution

The third proportional to 166,053.38 and 251,046 is: 379,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,053.38 : 251,046 = 251,046 : x
  2. Step 2: Convert to fraction form
    166,053.38/251,046 = 251,046/x
  3. Step 3: Cross multiply
    166,053.38x = 251,046 × 251,046
  4. Step 4: Simplify right side
    166,053.38x = 63,024,094,116
  5. Step 5: Solve for x
    x = 63,024,094,116/166,053.38
  6. Step 6: Final answer
    x = 379,541.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.