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Finding the Third Proportional to 175,070 and 256,395

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Solution

The third proportional to 175,070 and 256,395 is: 375,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,070 : 256,395 = 256,395 : x
  2. Step 2: Convert to fraction form
    175,070/256,395 = 256,395/x
  3. Step 3: Cross multiply
    175,070x = 256,395 × 256,395
  4. Step 4: Simplify right side
    175,070x = 65,738,396,025
  5. Step 5: Solve for x
    x = 65,738,396,025/175,070
  6. Step 6: Final answer
    x = 375,497.78

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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.