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Finding the Third Proportional to 207,239 and 329,541

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Solution

The third proportional to 207,239 and 329,541 is: 524,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,239 : 329,541 = 329,541 : x
  2. Step 2: Convert to fraction form
    207,239/329,541 = 329,541/x
  3. Step 3: Cross multiply
    207,239x = 329,541 × 329,541
  4. Step 4: Simplify right side
    207,239x = 108,597,270,681
  5. Step 5: Solve for x
    x = 108,597,270,681/207,239
  6. Step 6: Final answer
    x = 524,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.