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Finding the Third Proportional to 152,612 and 232,469

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Solution

The third proportional to 152,612 and 232,469 is: 354,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,612 : 232,469 = 232,469 : x
  2. Step 2: Convert to fraction form
    152,612/232,469 = 232,469/x
  3. Step 3: Cross multiply
    152,612x = 232,469 × 232,469
  4. Step 4: Simplify right side
    152,612x = 54,041,835,961
  5. Step 5: Solve for x
    x = 54,041,835,961/152,612
  6. Step 6: Final answer
    x = 354,112.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.