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Finding the Third Proportional to 175,074 and 256,401

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Solution

The third proportional to 175,074 and 256,401 is: 375,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,074 : 256,401 = 256,401 : x
  2. Step 2: Convert to fraction form
    175,074/256,401 = 256,401/x
  3. Step 3: Cross multiply
    175,074x = 256,401 × 256,401
  4. Step 4: Simplify right side
    175,074x = 65,741,472,801
  5. Step 5: Solve for x
    x = 65,741,472,801/175,074
  6. Step 6: Final answer
    x = 375,506.77

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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.