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Finding the Third Proportional to 217,716 and 329,854.50

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Solution

The third proportional to 217,716 and 329,854.50 is: 499,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,716 : 329,854.50 = 329,854.50 : x
  2. Step 2: Convert to fraction form
    217,716/329,854.50 = 329,854.50/x
  3. Step 3: Cross multiply
    217,716x = 329,854.50 × 329,854.50
  4. Step 4: Simplify right side
    217,716x = 108,803,991,170.25
  5. Step 5: Solve for x
    x = 108,803,991,170.25/217,716
  6. Step 6: Final answer
    x = 499,751.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.