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Finding the Third Proportional to 151,526.25 and 329,654.25

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Solution

The third proportional to 151,526.25 and 329,654.25 is: 717,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,526.25 : 329,654.25 = 329,654.25 : x
  2. Step 2: Convert to fraction form
    151,526.25/329,654.25 = 329,654.25/x
  3. Step 3: Cross multiply
    151,526.25x = 329,654.25 × 329,654.25
  4. Step 4: Simplify right side
    151,526.25x = 108,671,924,543.06
  5. Step 5: Solve for x
    x = 108,671,924,543.06/151,526.25
  6. Step 6: Final answer
    x = 717,182.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.