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Finding the Third Proportional to 167,678 and 366,460

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Solution

The third proportional to 167,678 and 366,460 is: 800,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,678 : 366,460 = 366,460 : x
  2. Step 2: Convert to fraction form
    167,678/366,460 = 366,460/x
  3. Step 3: Cross multiply
    167,678x = 366,460 × 366,460
  4. Step 4: Simplify right side
    167,678x = 134,292,931,600
  5. Step 5: Solve for x
    x = 134,292,931,600/167,678
  6. Step 6: Final answer
    x = 800,897.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.