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Finding the Third Proportional to 130,963.50 and 282,794.25

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Solution

The third proportional to 130,963.50 and 282,794.25 is: 610,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,963.50 : 282,794.25 = 282,794.25 : x
  2. Step 2: Convert to fraction form
    130,963.50/282,794.25 = 282,794.25/x
  3. Step 3: Cross multiply
    130,963.50x = 282,794.25 × 282,794.25
  4. Step 4: Simplify right side
    130,963.50x = 79,972,587,833.06
  5. Step 5: Solve for x
    x = 79,972,587,833.06/130,963.50
  6. Step 6: Final answer
    x = 610,647.91

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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.