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Finding the Third Proportional to 168,432.38 and 254,403.56

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Solution

The third proportional to 168,432.38 and 254,403.56 is: 384,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,432.38 : 254,403.56 = 254,403.56 : x
  2. Step 2: Convert to fraction form
    168,432.38/254,403.56 = 254,403.56/x
  3. Step 3: Cross multiply
    168,432.38x = 254,403.56 × 254,403.56
  4. Step 4: Simplify right side
    168,432.38x = 64,721,172,612.69
  5. Step 5: Solve for x
    x = 64,721,172,612.69/168,432.38
  6. Step 6: Final answer
    x = 384,256.13

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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.