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Finding the Third Proportional to 217,802.25 and 329,987.25

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Solution

The third proportional to 217,802.25 and 329,987.25 is: 499,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,802.25 : 329,987.25 = 329,987.25 : x
  2. Step 2: Convert to fraction form
    217,802.25/329,987.25 = 329,987.25/x
  3. Step 3: Cross multiply
    217,802.25x = 329,987.25 × 329,987.25
  4. Step 4: Simplify right side
    217,802.25x = 108,891,585,162.56
  5. Step 5: Solve for x
    x = 108,891,585,162.56/217,802.25
  6. Step 6: Final answer
    x = 499,956.20

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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.