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Finding the Third Proportional to 175,502 and 256,671

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Solution

The third proportional to 175,502 and 256,671 is: 375,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,502 : 256,671 = 256,671 : x
  2. Step 2: Convert to fraction form
    175,502/256,671 = 256,671/x
  3. Step 3: Cross multiply
    175,502x = 256,671 × 256,671
  4. Step 4: Simplify right side
    175,502x = 65,880,002,241
  5. Step 5: Solve for x
    x = 65,880,002,241/175,502
  6. Step 6: Final answer
    x = 375,380.35

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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.