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Finding the Third Proportional to 145,909.13 and 267,842.25

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Solution

The third proportional to 145,909.13 and 267,842.25 is: 491,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.13 : 267,842.25 = 267,842.25 : x
  2. Step 2: Convert to fraction form
    145,909.13/267,842.25 = 267,842.25/x
  3. Step 3: Cross multiply
    145,909.13x = 267,842.25 × 267,842.25
  4. Step 4: Simplify right side
    145,909.13x = 71,739,470,885.06
  5. Step 5: Solve for x
    x = 71,739,470,885.06/145,909.13
  6. Step 6: Final answer
    x = 491,672.27

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.