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Finding the Third Proportional to 70,233 and 152,374

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Solution

The third proportional to 70,233 and 152,374 is: 330,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,233 : 152,374 = 152,374 : x
  2. Step 2: Convert to fraction form
    70,233/152,374 = 152,374/x
  3. Step 3: Cross multiply
    70,233x = 152,374 × 152,374
  4. Step 4: Simplify right side
    70,233x = 23,217,835,876
  5. Step 5: Solve for x
    x = 23,217,835,876/70,233
  6. Step 6: Final answer
    x = 330,583.00

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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.