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Finding the Third Proportional to 167,564 and 346,792

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Solution

The third proportional to 167,564 and 346,792 is: 717,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,564 : 346,792 = 346,792 : x
  2. Step 2: Convert to fraction form
    167,564/346,792 = 346,792/x
  3. Step 3: Cross multiply
    167,564x = 346,792 × 346,792
  4. Step 4: Simplify right side
    167,564x = 120,264,691,264
  5. Step 5: Solve for x
    x = 120,264,691,264/167,564
  6. Step 6: Final answer
    x = 717,723.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.