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Finding the Third Proportional to 107,232 and 235,200

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Solution

The third proportional to 107,232 and 235,200 is: 515,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,232 : 235,200 = 235,200 : x
  2. Step 2: Convert to fraction form
    107,232/235,200 = 235,200/x
  3. Step 3: Cross multiply
    107,232x = 235,200 × 235,200
  4. Step 4: Simplify right side
    107,232x = 55,319,040,000
  5. Step 5: Solve for x
    x = 55,319,040,000/107,232
  6. Step 6: Final answer
    x = 515,881.83

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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.