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Finding the Third Proportional to 152,554 and 230,802

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Solution

The third proportional to 152,554 and 230,802 is: 349,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,554 : 230,802 = 230,802 : x
  2. Step 2: Convert to fraction form
    152,554/230,802 = 230,802/x
  3. Step 3: Cross multiply
    152,554x = 230,802 × 230,802
  4. Step 4: Simplify right side
    152,554x = 53,269,563,204
  5. Step 5: Solve for x
    x = 53,269,563,204/152,554
  6. Step 6: Final answer
    x = 349,184.97

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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.