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Finding the Third Proportional to 71,446.50 and 155,205

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Solution

The third proportional to 71,446.50 and 155,205 is: 337,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,446.50 : 155,205 = 155,205 : x
  2. Step 2: Convert to fraction form
    71,446.50/155,205 = 155,205/x
  3. Step 3: Cross multiply
    71,446.50x = 155,205 × 155,205
  4. Step 4: Simplify right side
    71,446.50x = 24,088,592,025
  5. Step 5: Solve for x
    x = 24,088,592,025/71,446.50
  6. Step 6: Final answer
    x = 337,155.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.