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Finding the Third Proportional to 123,426 and 268,452

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Solution

The third proportional to 123,426 and 268,452 is: 583,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,426 : 268,452 = 268,452 : x
  2. Step 2: Convert to fraction form
    123,426/268,452 = 268,452/x
  3. Step 3: Cross multiply
    123,426x = 268,452 × 268,452
  4. Step 4: Simplify right side
    123,426x = 72,066,476,304
  5. Step 5: Solve for x
    x = 72,066,476,304/123,426
  6. Step 6: Final answer
    x = 583,884.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.