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Finding the Third Proportional to 187,779 and 255,748.50

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Solution

The third proportional to 187,779 and 255,748.50 is: 348,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,779 : 255,748.50 = 255,748.50 : x
  2. Step 2: Convert to fraction form
    187,779/255,748.50 = 255,748.50/x
  3. Step 3: Cross multiply
    187,779x = 255,748.50 × 255,748.50
  4. Step 4: Simplify right side
    187,779x = 65,407,295,252.25
  5. Step 5: Solve for x
    x = 65,407,295,252.25/187,779
  6. Step 6: Final answer
    x = 348,320.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.