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Finding the Third Proportional to 217,713.75 and 329,852.25

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Solution

The third proportional to 217,713.75 and 329,852.25 is: 499,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,713.75 : 329,852.25 = 329,852.25 : x
  2. Step 2: Convert to fraction form
    217,713.75/329,852.25 = 329,852.25/x
  3. Step 3: Cross multiply
    217,713.75x = 329,852.25 × 329,852.25
  4. Step 4: Simplify right side
    217,713.75x = 108,802,506,830.06
  5. Step 5: Solve for x
    x = 108,802,506,830.06/217,713.75
  6. Step 6: Final answer
    x = 499,750.28

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Why These Related Problems?

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