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Finding the Third Proportional to 160,023 and 241,279.50

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Solution

The third proportional to 160,023 and 241,279.50 is: 363,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,023 : 241,279.50 = 241,279.50 : x
  2. Step 2: Convert to fraction form
    160,023/241,279.50 = 241,279.50/x
  3. Step 3: Cross multiply
    160,023x = 241,279.50 × 241,279.50
  4. Step 4: Simplify right side
    160,023x = 58,215,797,120.25
  5. Step 5: Solve for x
    x = 58,215,797,120.25/160,023
  6. Step 6: Final answer
    x = 363,796.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.