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Finding the Third Proportional to 167,229 and 357,138

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Solution

The third proportional to 167,229 and 357,138 is: 762,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,229 : 357,138 = 357,138 : x
  2. Step 2: Convert to fraction form
    167,229/357,138 = 357,138/x
  3. Step 3: Cross multiply
    167,229x = 357,138 × 357,138
  4. Step 4: Simplify right side
    167,229x = 127,547,551,044
  5. Step 5: Solve for x
    x = 127,547,551,044/167,229
  6. Step 6: Final answer
    x = 762,711.92

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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.