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Finding the Third Proportional to 124,382 and 268,420

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Solution

The third proportional to 124,382 and 268,420 is: 579,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,382 : 268,420 = 268,420 : x
  2. Step 2: Convert to fraction form
    124,382/268,420 = 268,420/x
  3. Step 3: Cross multiply
    124,382x = 268,420 × 268,420
  4. Step 4: Simplify right side
    124,382x = 72,049,296,400
  5. Step 5: Solve for x
    x = 72,049,296,400/124,382
  6. Step 6: Final answer
    x = 579,258.22

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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.