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Finding the Third Proportional to 186,708 and 296,856

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Solution

The third proportional to 186,708 and 296,856 is: 471,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,708 : 296,856 = 296,856 : x
  2. Step 2: Convert to fraction form
    186,708/296,856 = 296,856/x
  3. Step 3: Cross multiply
    186,708x = 296,856 × 296,856
  4. Step 4: Simplify right side
    186,708x = 88,123,484,736
  5. Step 5: Solve for x
    x = 88,123,484,736/186,708
  6. Step 6: Final answer
    x = 471,985.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.