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Finding the Third Proportional to 217,447.50 and 329,178

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Solution

The third proportional to 217,447.50 and 329,178 is: 498,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,447.50 : 329,178 = 329,178 : x
  2. Step 2: Convert to fraction form
    217,447.50/329,178 = 329,178/x
  3. Step 3: Cross multiply
    217,447.50x = 329,178 × 329,178
  4. Step 4: Simplify right side
    217,447.50x = 108,358,155,684
  5. Step 5: Solve for x
    x = 108,358,155,684/217,447.50
  6. Step 6: Final answer
    x = 498,318.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.