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Finding the Third Proportional to 185,761.50 and 295,216.50

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Solution

The third proportional to 185,761.50 and 295,216.50 is: 469,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,761.50 : 295,216.50 = 295,216.50 : x
  2. Step 2: Convert to fraction form
    185,761.50/295,216.50 = 295,216.50/x
  3. Step 3: Cross multiply
    185,761.50x = 295,216.50 × 295,216.50
  4. Step 4: Simplify right side
    185,761.50x = 87,152,781,872.25
  5. Step 5: Solve for x
    x = 87,152,781,872.25/185,761.50
  6. Step 6: Final answer
    x = 469,164.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.