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Finding the Third Proportional to 175,500 and 386,856

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Solution

The third proportional to 175,500 and 386,856 is: 852,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,500 : 386,856 = 386,856 : x
  2. Step 2: Convert to fraction form
    175,500/386,856 = 386,856/x
  3. Step 3: Cross multiply
    175,500x = 386,856 × 386,856
  4. Step 4: Simplify right side
    175,500x = 149,657,564,736
  5. Step 5: Solve for x
    x = 149,657,564,736/175,500
  6. Step 6: Final answer
    x = 852,749.66

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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.