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Finding the Third Proportional to 179,496 and 277,908

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Solution

The third proportional to 179,496 and 277,908 is: 430,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,496 : 277,908 = 277,908 : x
  2. Step 2: Convert to fraction form
    179,496/277,908 = 277,908/x
  3. Step 3: Cross multiply
    179,496x = 277,908 × 277,908
  4. Step 4: Simplify right side
    179,496x = 77,232,856,464
  5. Step 5: Solve for x
    x = 77,232,856,464/179,496
  6. Step 6: Final answer
    x = 430,276.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.