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Finding the Third Proportional to 150,712 and 204,685

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Solution

The third proportional to 150,712 and 204,685 is: 277,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,712 : 204,685 = 204,685 : x
  2. Step 2: Convert to fraction form
    150,712/204,685 = 204,685/x
  3. Step 3: Cross multiply
    150,712x = 204,685 × 204,685
  4. Step 4: Simplify right side
    150,712x = 41,895,949,225
  5. Step 5: Solve for x
    x = 41,895,949,225/150,712
  6. Step 6: Final answer
    x = 277,986.82

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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.