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Finding the Third Proportional to 153,926 and 338,110

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Solution

The third proportional to 153,926 and 338,110 is: 742,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,926 : 338,110 = 338,110 : x
  2. Step 2: Convert to fraction form
    153,926/338,110 = 338,110/x
  3. Step 3: Cross multiply
    153,926x = 338,110 × 338,110
  4. Step 4: Simplify right side
    153,926x = 114,318,372,100
  5. Step 5: Solve for x
    x = 114,318,372,100/153,926
  6. Step 6: Final answer
    x = 742,683.97

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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.