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Finding the Third Proportional to 152,885 and 207,612

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Solution

The third proportional to 152,885 and 207,612 is: 281,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,885 : 207,612 = 207,612 : x
  2. Step 2: Convert to fraction form
    152,885/207,612 = 207,612/x
  3. Step 3: Cross multiply
    152,885x = 207,612 × 207,612
  4. Step 4: Simplify right side
    152,885x = 43,102,742,544
  5. Step 5: Solve for x
    x = 43,102,742,544/152,885
  6. Step 6: Final answer
    x = 281,929.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.