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Finding the Third Proportional to 157,871 and 338,134

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Solution

The third proportional to 157,871 and 338,134 is: 724,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,871 : 338,134 = 338,134 : x
  2. Step 2: Convert to fraction form
    157,871/338,134 = 338,134/x
  3. Step 3: Cross multiply
    157,871x = 338,134 × 338,134
  4. Step 4: Simplify right side
    157,871x = 114,334,601,956
  5. Step 5: Solve for x
    x = 114,334,601,956/157,871
  6. Step 6: Final answer
    x = 724,228.02

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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.