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Finding the Third Proportional to 152,952 and 329,340

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Solution

The third proportional to 152,952 and 329,340 is: 709,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,952 : 329,340 = 329,340 : x
  2. Step 2: Convert to fraction form
    152,952/329,340 = 329,340/x
  3. Step 3: Cross multiply
    152,952x = 329,340 × 329,340
  4. Step 4: Simplify right side
    152,952x = 108,464,835,600
  5. Step 5: Solve for x
    x = 108,464,835,600/152,952
  6. Step 6: Final answer
    x = 709,142.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.