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Finding the Third Proportional to 167,598 and 344,079

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Solution

The third proportional to 167,598 and 344,079 is: 706,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,598 : 344,079 = 344,079 : x
  2. Step 2: Convert to fraction form
    167,598/344,079 = 344,079/x
  3. Step 3: Cross multiply
    167,598x = 344,079 × 344,079
  4. Step 4: Simplify right side
    167,598x = 118,390,358,241
  5. Step 5: Solve for x
    x = 118,390,358,241/167,598
  6. Step 6: Final answer
    x = 706,394.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.