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Finding the Third Proportional to 175,746.50 and 272,358.75

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Solution

The third proportional to 175,746.50 and 272,358.75 is: 422,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,746.50 : 272,358.75 = 272,358.75 : x
  2. Step 2: Convert to fraction form
    175,746.50/272,358.75 = 272,358.75/x
  3. Step 3: Cross multiply
    175,746.50x = 272,358.75 × 272,358.75
  4. Step 4: Simplify right side
    175,746.50x = 74,179,288,701.56
  5. Step 5: Solve for x
    x = 74,179,288,701.56/175,746.50
  6. Step 6: Final answer
    x = 422,081.17

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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.