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Finding the Third Proportional to 161,353.50 and 215,508

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Solution

The third proportional to 161,353.50 and 215,508 is: 287,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,353.50 : 215,508 = 215,508 : x
  2. Step 2: Convert to fraction form
    161,353.50/215,508 = 215,508/x
  3. Step 3: Cross multiply
    161,353.50x = 215,508 × 215,508
  4. Step 4: Simplify right side
    161,353.50x = 46,443,698,064
  5. Step 5: Solve for x
    x = 46,443,698,064/161,353.50
  6. Step 6: Final answer
    x = 287,838.18

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.