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Finding the Third Proportional to 161,003.50 and 218,655.75

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Solution

The third proportional to 161,003.50 and 218,655.75 is: 296,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,003.50 : 218,655.75 = 218,655.75 : x
  2. Step 2: Convert to fraction form
    161,003.50/218,655.75 = 218,655.75/x
  3. Step 3: Cross multiply
    161,003.50x = 218,655.75 × 218,655.75
  4. Step 4: Simplify right side
    161,003.50x = 47,810,337,008.06
  5. Step 5: Solve for x
    x = 47,810,337,008.06/161,003.50
  6. Step 6: Final answer
    x = 296,952.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.