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Finding the Third Proportional to 125,364 and 268,219

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Solution

The third proportional to 125,364 and 268,219 is: 573,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,364 : 268,219 = 268,219 : x
  2. Step 2: Convert to fraction form
    125,364/268,219 = 268,219/x
  3. Step 3: Cross multiply
    125,364x = 268,219 × 268,219
  4. Step 4: Simplify right side
    125,364x = 71,941,431,961
  5. Step 5: Solve for x
    x = 71,941,431,961/125,364
  6. Step 6: Final answer
    x = 573,860.37

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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.