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Finding the Third Proportional to 109,658.25 and 240,261.75

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Solution

The third proportional to 109,658.25 and 240,261.75 is: 526,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658.25 : 240,261.75 = 240,261.75 : x
  2. Step 2: Convert to fraction form
    109,658.25/240,261.75 = 240,261.75/x
  3. Step 3: Cross multiply
    109,658.25x = 240,261.75 × 240,261.75
  4. Step 4: Simplify right side
    109,658.25x = 57,725,708,513.06
  5. Step 5: Solve for x
    x = 57,725,708,513.06/109,658.25
  6. Step 6: Final answer
    x = 526,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.