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Finding the Third Proportional to 231,495.88 and 347,860.13

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Solution

The third proportional to 231,495.88 and 347,860.13 is: 522,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,495.88 : 347,860.13 = 347,860.13 : x
  2. Step 2: Convert to fraction form
    231,495.88/347,860.13 = 347,860.13/x
  3. Step 3: Cross multiply
    231,495.88x = 347,860.13 × 347,860.13
  4. Step 4: Simplify right side
    231,495.88x = 121,006,666,565.02
  5. Step 5: Solve for x
    x = 121,006,666,565.02/231,495.88
  6. Step 6: Final answer
    x = 522,716.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.