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Finding the Third Proportional to 119,180 and 256,656

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Solution

The third proportional to 119,180 and 256,656 is: 552,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,180 : 256,656 = 256,656 : x
  2. Step 2: Convert to fraction form
    119,180/256,656 = 256,656/x
  3. Step 3: Cross multiply
    119,180x = 256,656 × 256,656
  4. Step 4: Simplify right side
    119,180x = 65,872,302,336
  5. Step 5: Solve for x
    x = 65,872,302,336/119,180
  6. Step 6: Final answer
    x = 552,712.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.