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Finding the Third Proportional to 107,156 and 235,462

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Solution

The third proportional to 107,156 and 235,462 is: 517,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,156 : 235,462 = 235,462 : x
  2. Step 2: Convert to fraction form
    107,156/235,462 = 235,462/x
  3. Step 3: Cross multiply
    107,156x = 235,462 × 235,462
  4. Step 4: Simplify right side
    107,156x = 55,442,353,444
  5. Step 5: Solve for x
    x = 55,442,353,444/107,156
  6. Step 6: Final answer
    x = 517,398.50

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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.