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Finding the Third Proportional to 175,426.88 and 256,579.31

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Solution

The third proportional to 175,426.88 and 256,579.31 is: 375,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,426.88 : 256,579.31 = 256,579.31 : x
  2. Step 2: Convert to fraction form
    175,426.88/256,579.31 = 256,579.31/x
  3. Step 3: Cross multiply
    175,426.88x = 256,579.31 × 256,579.31
  4. Step 4: Simplify right side
    175,426.88x = 65,832,943,602.97
  5. Step 5: Solve for x
    x = 65,832,943,602.97/175,426.88
  6. Step 6: Final answer
    x = 375,272.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.