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Finding the Third Proportional to 167,130 and 357,561

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Solution

The third proportional to 167,130 and 357,561 is: 764,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,130 : 357,561 = 357,561 : x
  2. Step 2: Convert to fraction form
    167,130/357,561 = 357,561/x
  3. Step 3: Cross multiply
    167,130x = 357,561 × 357,561
  4. Step 4: Simplify right side
    167,130x = 127,849,868,721
  5. Step 5: Solve for x
    x = 127,849,868,721/167,130
  6. Step 6: Final answer
    x = 764,972.59

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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.