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Finding the Third Proportional to 161,572.50 and 345,138

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Solution

The third proportional to 161,572.50 and 345,138 is: 737,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572.50 : 345,138 = 345,138 : x
  2. Step 2: Convert to fraction form
    161,572.50/345,138 = 345,138/x
  3. Step 3: Cross multiply
    161,572.50x = 345,138 × 345,138
  4. Step 4: Simplify right side
    161,572.50x = 119,120,239,044
  5. Step 5: Solve for x
    x = 119,120,239,044/161,572.50
  6. Step 6: Final answer
    x = 737,255.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.