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Finding the Third Proportional to 123,536 and 240,928

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Solution

The third proportional to 123,536 and 240,928 is: 469,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,536 : 240,928 = 240,928 : x
  2. Step 2: Convert to fraction form
    123,536/240,928 = 240,928/x
  3. Step 3: Cross multiply
    123,536x = 240,928 × 240,928
  4. Step 4: Simplify right side
    123,536x = 58,046,301,184
  5. Step 5: Solve for x
    x = 58,046,301,184/123,536
  6. Step 6: Final answer
    x = 469,873.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.