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Finding the Third Proportional to 152,508 and 229,962

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Solution

The third proportional to 152,508 and 229,962 is: 346,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,508 : 229,962 = 229,962 : x
  2. Step 2: Convert to fraction form
    152,508/229,962 = 229,962/x
  3. Step 3: Cross multiply
    152,508x = 229,962 × 229,962
  4. Step 4: Simplify right side
    152,508x = 52,882,521,444
  5. Step 5: Solve for x
    x = 52,882,521,444/152,508
  6. Step 6: Final answer
    x = 346,752.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.