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Finding the Third Proportional to 161,572 and 234,150

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Solution

The third proportional to 161,572 and 234,150 is: 339,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572 : 234,150 = 234,150 : x
  2. Step 2: Convert to fraction form
    161,572/234,150 = 234,150/x
  3. Step 3: Cross multiply
    161,572x = 234,150 × 234,150
  4. Step 4: Simplify right side
    161,572x = 54,826,222,500
  5. Step 5: Solve for x
    x = 54,826,222,500/161,572
  6. Step 6: Final answer
    x = 339,329.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.