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Finding the Third Proportional to 167,141 and 357,610

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Solution

The third proportional to 167,141 and 357,610 is: 765,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,141 : 357,610 = 357,610 : x
  2. Step 2: Convert to fraction form
    167,141/357,610 = 357,610/x
  3. Step 3: Cross multiply
    167,141x = 357,610 × 357,610
  4. Step 4: Simplify right side
    167,141x = 127,884,912,100
  5. Step 5: Solve for x
    x = 127,884,912,100/167,141
  6. Step 6: Final answer
    x = 765,131.91

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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.