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Finding the Third Proportional to 176,134.50 and 272,841.75

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Solution

The third proportional to 176,134.50 and 272,841.75 is: 422,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,134.50 : 272,841.75 = 272,841.75 : x
  2. Step 2: Convert to fraction form
    176,134.50/272,841.75 = 272,841.75/x
  3. Step 3: Cross multiply
    176,134.50x = 272,841.75 × 272,841.75
  4. Step 4: Simplify right side
    176,134.50x = 74,442,620,543.06
  5. Step 5: Solve for x
    x = 74,442,620,543.06/176,134.50
  6. Step 6: Final answer
    x = 422,646.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.