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Finding the Third Proportional to 175,068 and 256,392

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Solution

The third proportional to 175,068 and 256,392 is: 375,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,068 : 256,392 = 256,392 : x
  2. Step 2: Convert to fraction form
    175,068/256,392 = 256,392/x
  3. Step 3: Cross multiply
    175,068x = 256,392 × 256,392
  4. Step 4: Simplify right side
    175,068x = 65,736,857,664
  5. Step 5: Solve for x
    x = 65,736,857,664/175,068
  6. Step 6: Final answer
    x = 375,493.28

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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.