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Finding the Third Proportional to 107,266 and 235,535

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Solution

The third proportional to 107,266 and 235,535 is: 517,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,266 : 235,535 = 235,535 : x
  2. Step 2: Convert to fraction form
    107,266/235,535 = 235,535/x
  3. Step 3: Cross multiply
    107,266x = 235,535 × 235,535
  4. Step 4: Simplify right side
    107,266x = 55,476,736,225
  5. Step 5: Solve for x
    x = 55,476,736,225/107,266
  6. Step 6: Final answer
    x = 517,188.45

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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.