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Finding the Third Proportional to 175,960.13 and 386,911.13

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Solution

The third proportional to 175,960.13 and 386,911.13 is: 850,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,960.13 : 386,911.13 = 386,911.13 : x
  2. Step 2: Convert to fraction form
    175,960.13/386,911.13 = 386,911.13/x
  3. Step 3: Cross multiply
    175,960.13x = 386,911.13 × 386,911.13
  4. Step 4: Simplify right side
    175,960.13x = 149,700,218,648.77
  5. Step 5: Solve for x
    x = 149,700,218,648.77/175,960.13
  6. Step 6: Final answer
    x = 850,762.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.