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Finding the Third Proportional to 119,176 and 256,648

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Solution

The third proportional to 119,176 and 256,648 is: 552,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,176 : 256,648 = 256,648 : x
  2. Step 2: Convert to fraction form
    119,176/256,648 = 256,648/x
  3. Step 3: Cross multiply
    119,176x = 256,648 × 256,648
  4. Step 4: Simplify right side
    119,176x = 65,868,195,904
  5. Step 5: Solve for x
    x = 65,868,195,904/119,176
  6. Step 6: Final answer
    x = 552,696.82

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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.