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Finding the Third Proportional to 107,407.13 and 236,256.75

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Solution

The third proportional to 107,407.13 and 236,256.75 is: 519,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407.13 : 236,256.75 = 236,256.75 : x
  2. Step 2: Convert to fraction form
    107,407.13/236,256.75 = 236,256.75/x
  3. Step 3: Cross multiply
    107,407.13x = 236,256.75 × 236,256.75
  4. Step 4: Simplify right side
    107,407.13x = 55,817,251,920.56
  5. Step 5: Solve for x
    x = 55,817,251,920.56/107,407.13
  6. Step 6: Final answer
    x = 519,679.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.