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Finding the Third Proportional to 83,303.50 and 181,397

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Solution

The third proportional to 83,303.50 and 181,397 is: 394,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,303.50 : 181,397 = 181,397 : x
  2. Step 2: Convert to fraction form
    83,303.50/181,397 = 181,397/x
  3. Step 3: Cross multiply
    83,303.50x = 181,397 × 181,397
  4. Step 4: Simplify right side
    83,303.50x = 32,904,871,609
  5. Step 5: Solve for x
    x = 32,904,871,609/83,303.50
  6. Step 6: Final answer
    x = 394,999.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.