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Finding the Third Proportional to 157,856 and 338,176

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Solution

The third proportional to 157,856 and 338,176 is: 724,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,856 : 338,176 = 338,176 : x
  2. Step 2: Convert to fraction form
    157,856/338,176 = 338,176/x
  3. Step 3: Cross multiply
    157,856x = 338,176 × 338,176
  4. Step 4: Simplify right side
    157,856x = 114,363,006,976
  5. Step 5: Solve for x
    x = 114,363,006,976/157,856
  6. Step 6: Final answer
    x = 724,476.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.