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Finding the Third Proportional to 152,195 and 236,581

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Solution

The third proportional to 152,195 and 236,581 is: 367,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,195 : 236,581 = 236,581 : x
  2. Step 2: Convert to fraction form
    152,195/236,581 = 236,581/x
  3. Step 3: Cross multiply
    152,195x = 236,581 × 236,581
  4. Step 4: Simplify right side
    152,195x = 55,970,569,561
  5. Step 5: Solve for x
    x = 55,970,569,561/152,195
  6. Step 6: Final answer
    x = 367,755.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.