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Finding the Third Proportional to 161,892 and 241,177.50

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Solution

The third proportional to 161,892 and 241,177.50 is: 359,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,892 : 241,177.50 = 241,177.50 : x
  2. Step 2: Convert to fraction form
    161,892/241,177.50 = 241,177.50/x
  3. Step 3: Cross multiply
    161,892x = 241,177.50 × 241,177.50
  4. Step 4: Simplify right side
    161,892x = 58,166,586,506.25
  5. Step 5: Solve for x
    x = 58,166,586,506.25/161,892
  6. Step 6: Final answer
    x = 359,292.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.