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Finding the Third Proportional to 152,601 and 331,473

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Solution

The third proportional to 152,601 and 331,473 is: 720,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,601 : 331,473 = 331,473 : x
  2. Step 2: Convert to fraction form
    152,601/331,473 = 331,473/x
  3. Step 3: Cross multiply
    152,601x = 331,473 × 331,473
  4. Step 4: Simplify right side
    152,601x = 109,874,349,729
  5. Step 5: Solve for x
    x = 109,874,349,729/152,601
  6. Step 6: Final answer
    x = 720,010.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.