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Finding the Third Proportional to 185,535.75 and 277,818

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Solution

The third proportional to 185,535.75 and 277,818 is: 415,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,535.75 : 277,818 = 277,818 : x
  2. Step 2: Convert to fraction form
    185,535.75/277,818 = 277,818/x
  3. Step 3: Cross multiply
    185,535.75x = 277,818 × 277,818
  4. Step 4: Simplify right side
    185,535.75x = 77,182,841,124
  5. Step 5: Solve for x
    x = 77,182,841,124/185,535.75
  6. Step 6: Final answer
    x = 415,999.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.