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Finding the Third Proportional to 157,229 and 341,034

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Solution

The third proportional to 157,229 and 341,034 is: 739,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,229 : 341,034 = 341,034 : x
  2. Step 2: Convert to fraction form
    157,229/341,034 = 341,034/x
  3. Step 3: Cross multiply
    157,229x = 341,034 × 341,034
  4. Step 4: Simplify right side
    157,229x = 116,304,189,156
  5. Step 5: Solve for x
    x = 116,304,189,156/157,229
  6. Step 6: Final answer
    x = 739,712.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.