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Finding the Third Proportional to 124,368 and 268,384

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Solution

The third proportional to 124,368 and 268,384 is: 579,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,368 : 268,384 = 268,384 : x
  2. Step 2: Convert to fraction form
    124,368/268,384 = 268,384/x
  3. Step 3: Cross multiply
    124,368x = 268,384 × 268,384
  4. Step 4: Simplify right side
    124,368x = 72,029,971,456
  5. Step 5: Solve for x
    x = 72,029,971,456/124,368
  6. Step 6: Final answer
    x = 579,168.05

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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.