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Finding the Third Proportional to 175,354 and 377,750

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Solution

The third proportional to 175,354 and 377,750 is: 813,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,354 : 377,750 = 377,750 : x
  2. Step 2: Convert to fraction form
    175,354/377,750 = 377,750/x
  3. Step 3: Cross multiply
    175,354x = 377,750 × 377,750
  4. Step 4: Simplify right side
    175,354x = 142,695,062,500
  5. Step 5: Solve for x
    x = 142,695,062,500/175,354
  6. Step 6: Final answer
    x = 813,754.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.