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Finding the Third Proportional to 125,436 and 268,356

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Solution

The third proportional to 125,436 and 268,356 is: 574,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,436 : 268,356 = 268,356 : x
  2. Step 2: Convert to fraction form
    125,436/268,356 = 268,356/x
  3. Step 3: Cross multiply
    125,436x = 268,356 × 268,356
  4. Step 4: Simplify right side
    125,436x = 72,014,942,736
  5. Step 5: Solve for x
    x = 72,014,942,736/125,436
  6. Step 6: Final answer
    x = 574,117.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.