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Finding the Third Proportional to 150,715.69 and 207,616.92

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Solution

The third proportional to 150,715.69 and 207,616.92 is: 286,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715.69 : 207,616.92 = 207,616.92 : x
  2. Step 2: Convert to fraction form
    150,715.69/207,616.92 = 207,616.92/x
  3. Step 3: Cross multiply
    150,715.69x = 207,616.92 × 207,616.92
  4. Step 4: Simplify right side
    150,715.69x = 43,104,786,248.85
  5. Step 5: Solve for x
    x = 43,104,786,248.85/150,715.69
  6. Step 6: Final answer
    x = 286,000.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.