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Finding the Third Proportional to 175,068 and 270,377

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Solution

The third proportional to 175,068 and 270,377 is: 417,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,068 : 270,377 = 270,377 : x
  2. Step 2: Convert to fraction form
    175,068/270,377 = 270,377/x
  3. Step 3: Cross multiply
    175,068x = 270,377 × 270,377
  4. Step 4: Simplify right side
    175,068x = 73,103,722,129
  5. Step 5: Solve for x
    x = 73,103,722,129/175,068
  6. Step 6: Final answer
    x = 417,573.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.