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Finding the Third Proportional to 152,592 and 331,453

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Solution

The third proportional to 152,592 and 331,453 is: 719,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,592 : 331,453 = 331,453 : x
  2. Step 2: Convert to fraction form
    152,592/331,453 = 331,453/x
  3. Step 3: Cross multiply
    152,592x = 331,453 × 331,453
  4. Step 4: Simplify right side
    152,592x = 109,861,091,209
  5. Step 5: Solve for x
    x = 109,861,091,209/152,592
  6. Step 6: Final answer
    x = 719,966.26

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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.