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Finding the Third Proportional to 130,456.50 and 283,219.50

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Solution

The third proportional to 130,456.50 and 283,219.50 is: 614,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,456.50 : 283,219.50 = 283,219.50 : x
  2. Step 2: Convert to fraction form
    130,456.50/283,219.50 = 283,219.50/x
  3. Step 3: Cross multiply
    130,456.50x = 283,219.50 × 283,219.50
  4. Step 4: Simplify right side
    130,456.50x = 80,213,285,180.25
  5. Step 5: Solve for x
    x = 80,213,285,180.25/130,456.50
  6. Step 6: Final answer
    x = 614,866.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.