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Finding the Third Proportional to 70,374 and 152,493

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Solution

The third proportional to 70,374 and 152,493 is: 330,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,374 : 152,493 = 152,493 : x
  2. Step 2: Convert to fraction form
    70,374/152,493 = 152,493/x
  3. Step 3: Cross multiply
    70,374x = 152,493 × 152,493
  4. Step 4: Simplify right side
    70,374x = 23,254,115,049
  5. Step 5: Solve for x
    x = 23,254,115,049/70,374
  6. Step 6: Final answer
    x = 330,436.17

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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.