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Finding the Third Proportional to 131,151 and 283,240.50

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Solution

The third proportional to 131,151 and 283,240.50 is: 611,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,151 : 283,240.50 = 283,240.50 : x
  2. Step 2: Convert to fraction form
    131,151/283,240.50 = 283,240.50/x
  3. Step 3: Cross multiply
    131,151x = 283,240.50 × 283,240.50
  4. Step 4: Simplify right side
    131,151x = 80,225,180,840.25
  5. Step 5: Solve for x
    x = 80,225,180,840.25/131,151
  6. Step 6: Final answer
    x = 611,700.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.