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Finding the Third Proportional to 167,098.50 and 351,693

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Solution

The third proportional to 167,098.50 and 351,693 is: 740,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,098.50 : 351,693 = 351,693 : x
  2. Step 2: Convert to fraction form
    167,098.50/351,693 = 351,693/x
  3. Step 3: Cross multiply
    167,098.50x = 351,693 × 351,693
  4. Step 4: Simplify right side
    167,098.50x = 123,687,966,249
  5. Step 5: Solve for x
    x = 123,687,966,249/167,098.50
  6. Step 6: Final answer
    x = 740,209.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.