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Finding the Third Proportional to 175,353 and 377,748

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Solution

The third proportional to 175,353 and 377,748 is: 813,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,353 : 377,748 = 377,748 : x
  2. Step 2: Convert to fraction form
    175,353/377,748 = 377,748/x
  3. Step 3: Cross multiply
    175,353x = 377,748 × 377,748
  4. Step 4: Simplify right side
    175,353x = 142,693,551,504
  5. Step 5: Solve for x
    x = 142,693,551,504/175,353
  6. Step 6: Final answer
    x = 813,750.27

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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.