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Finding the Third Proportional to 150,432 and 218,528

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Solution

The third proportional to 150,432 and 218,528 is: 317,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,432 : 218,528 = 218,528 : x
  2. Step 2: Convert to fraction form
    150,432/218,528 = 218,528/x
  3. Step 3: Cross multiply
    150,432x = 218,528 × 218,528
  4. Step 4: Simplify right side
    150,432x = 47,754,486,784
  5. Step 5: Solve for x
    x = 47,754,486,784/150,432
  6. Step 6: Final answer
    x = 317,448.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.