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Finding the Third Proportional to 168,432.66 and 254,404.03

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Solution

The third proportional to 168,432.66 and 254,404.03 is: 384,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,432.66 : 254,404.03 = 254,404.03 : x
  2. Step 2: Convert to fraction form
    168,432.66/254,404.03 = 254,404.03/x
  3. Step 3: Cross multiply
    168,432.66x = 254,404.03 × 254,404.03
  4. Step 4: Simplify right side
    168,432.66x = 64,721,411,116.25
  5. Step 5: Solve for x
    x = 64,721,411,116.25/168,432.66
  6. Step 6: Final answer
    x = 384,256.90

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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.