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Finding the Third Proportional to 175,736 and 272,343

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Solution

The third proportional to 175,736 and 272,343 is: 422,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,736 : 272,343 = 272,343 : x
  2. Step 2: Convert to fraction form
    175,736/272,343 = 272,343/x
  3. Step 3: Cross multiply
    175,736x = 272,343 × 272,343
  4. Step 4: Simplify right side
    175,736x = 74,170,709,649
  5. Step 5: Solve for x
    x = 74,170,709,649/175,736
  6. Step 6: Final answer
    x = 422,057.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.