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Finding the Third Proportional to 185,535.50 and 277,817

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Solution

The third proportional to 185,535.50 and 277,817 is: 415,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,535.50 : 277,817 = 277,817 : x
  2. Step 2: Convert to fraction form
    185,535.50/277,817 = 277,817/x
  3. Step 3: Cross multiply
    185,535.50x = 277,817 × 277,817
  4. Step 4: Simplify right side
    185,535.50x = 77,182,285,489
  5. Step 5: Solve for x
    x = 77,182,285,489/185,535.50
  6. Step 6: Final answer
    x = 415,997.40

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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.