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Finding the Third Proportional to 174,940.50 and 278,499

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Solution

The third proportional to 174,940.50 and 278,499 is: 443,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,940.50 : 278,499 = 278,499 : x
  2. Step 2: Convert to fraction form
    174,940.50/278,499 = 278,499/x
  3. Step 3: Cross multiply
    174,940.50x = 278,499 × 278,499
  4. Step 4: Simplify right side
    174,940.50x = 77,561,693,001
  5. Step 5: Solve for x
    x = 77,561,693,001/174,940.50
  6. Step 6: Final answer
    x = 443,360.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.