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Finding the Third Proportional to 151,432 and 329,378

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Solution

The third proportional to 151,432 and 329,378 is: 716,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,432 : 329,378 = 329,378 : x
  2. Step 2: Convert to fraction form
    151,432/329,378 = 329,378/x
  3. Step 3: Cross multiply
    151,432x = 329,378 × 329,378
  4. Step 4: Simplify right side
    151,432x = 108,489,866,884
  5. Step 5: Solve for x
    x = 108,489,866,884/151,432
  6. Step 6: Final answer
    x = 716,426.30

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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.