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Finding the Third Proportional to 207,394 and 329,772

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Solution

The third proportional to 207,394 and 329,772 is: 524,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,394 : 329,772 = 329,772 : x
  2. Step 2: Convert to fraction form
    207,394/329,772 = 329,772/x
  3. Step 3: Cross multiply
    207,394x = 329,772 × 329,772
  4. Step 4: Simplify right side
    207,394x = 108,749,571,984
  5. Step 5: Solve for x
    x = 108,749,571,984/207,394
  6. Step 6: Final answer
    x = 524,362.19

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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.