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Finding the Third Proportional to 119,967 and 256,539

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Solution

The third proportional to 119,967 and 256,539 is: 548,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,967 : 256,539 = 256,539 : x
  2. Step 2: Convert to fraction form
    119,967/256,539 = 256,539/x
  3. Step 3: Cross multiply
    119,967x = 256,539 × 256,539
  4. Step 4: Simplify right side
    119,967x = 65,812,258,521
  5. Step 5: Solve for x
    x = 65,812,258,521/119,967
  6. Step 6: Final answer
    x = 548,586.35

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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.