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Finding the Third Proportional to 161,396 and 344,948

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Solution

The third proportional to 161,396 and 344,948 is: 737,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,396 : 344,948 = 344,948 : x
  2. Step 2: Convert to fraction form
    161,396/344,948 = 344,948/x
  3. Step 3: Cross multiply
    161,396x = 344,948 × 344,948
  4. Step 4: Simplify right side
    161,396x = 118,989,122,704
  5. Step 5: Solve for x
    x = 118,989,122,704/161,396
  6. Step 6: Final answer
    x = 737,249.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.