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Finding the Third Proportional to 112,407.75 and 240,802.88

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Solution

The third proportional to 112,407.75 and 240,802.88 is: 515,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,407.75 : 240,802.88 = 240,802.88 : x
  2. Step 2: Convert to fraction form
    112,407.75/240,802.88 = 240,802.88/x
  3. Step 3: Cross multiply
    112,407.75x = 240,802.88 × 240,802.88
  4. Step 4: Simplify right side
    112,407.75x = 57,986,024,608.27
  5. Step 5: Solve for x
    x = 57,986,024,608.27/112,407.75
  6. Step 6: Final answer
    x = 515,854.33

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Why These Related Problems?

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