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Finding the Third Proportional to 124,288 and 268,352

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Solution

The third proportional to 124,288 and 268,352 is: 579,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,288 : 268,352 = 268,352 : x
  2. Step 2: Convert to fraction form
    124,288/268,352 = 268,352/x
  3. Step 3: Cross multiply
    124,288x = 268,352 × 268,352
  4. Step 4: Simplify right side
    124,288x = 72,012,795,904
  5. Step 5: Solve for x
    x = 72,012,795,904/124,288
  6. Step 6: Final answer
    x = 579,402.64

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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.