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Finding the Third Proportional to 175,398 and 256,545

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Solution

The third proportional to 175,398 and 256,545 is: 375,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,398 : 256,545 = 256,545 : x
  2. Step 2: Convert to fraction form
    175,398/256,545 = 256,545/x
  3. Step 3: Cross multiply
    175,398x = 256,545 × 256,545
  4. Step 4: Simplify right side
    175,398x = 65,815,337,025
  5. Step 5: Solve for x
    x = 65,815,337,025/175,398
  6. Step 6: Final answer
    x = 375,234.25

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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.