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Finding the Third Proportional to 130,600.25 and 282,937.25

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Solution

The third proportional to 130,600.25 and 282,937.25 is: 612,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,600.25 : 282,937.25 = 282,937.25 : x
  2. Step 2: Convert to fraction form
    130,600.25/282,937.25 = 282,937.25/x
  3. Step 3: Cross multiply
    130,600.25x = 282,937.25 × 282,937.25
  4. Step 4: Simplify right side
    130,600.25x = 80,053,487,437.56
  5. Step 5: Solve for x
    x = 80,053,487,437.56/130,600.25
  6. Step 6: Final answer
    x = 612,965.81

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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.