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Finding the Third Proportional to 112,364.25 and 240,720.75

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Solution

The third proportional to 112,364.25 and 240,720.75 is: 515,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,364.25 : 240,720.75 = 240,720.75 : x
  2. Step 2: Convert to fraction form
    112,364.25/240,720.75 = 240,720.75/x
  3. Step 3: Cross multiply
    112,364.25x = 240,720.75 × 240,720.75
  4. Step 4: Simplify right side
    112,364.25x = 57,946,479,480.56
  5. Step 5: Solve for x
    x = 57,946,479,480.56/112,364.25
  6. Step 6: Final answer
    x = 515,702.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.