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Finding the Third Proportional to 155,769 and 241,915

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Solution

The third proportional to 155,769 and 241,915 is: 375,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,769 : 241,915 = 241,915 : x
  2. Step 2: Convert to fraction form
    155,769/241,915 = 241,915/x
  3. Step 3: Cross multiply
    155,769x = 241,915 × 241,915
  4. Step 4: Simplify right side
    155,769x = 58,522,867,225
  5. Step 5: Solve for x
    x = 58,522,867,225/155,769
  6. Step 6: Final answer
    x = 375,702.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.