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Finding the Third Proportional to 124,314 and 268,284

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Solution

The third proportional to 124,314 and 268,284 is: 578,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,314 : 268,284 = 268,284 : x
  2. Step 2: Convert to fraction form
    124,314/268,284 = 268,284/x
  3. Step 3: Cross multiply
    124,314x = 268,284 × 268,284
  4. Step 4: Simplify right side
    124,314x = 71,976,304,656
  5. Step 5: Solve for x
    x = 71,976,304,656/124,314
  6. Step 6: Final answer
    x = 578,987.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.