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Finding the Third Proportional to 79,306 and 172,436

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Solution

The third proportional to 79,306 and 172,436 is: 374,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,306 : 172,436 = 172,436 : x
  2. Step 2: Convert to fraction form
    79,306/172,436 = 172,436/x
  3. Step 3: Cross multiply
    79,306x = 172,436 × 172,436
  4. Step 4: Simplify right side
    79,306x = 29,734,174,096
  5. Step 5: Solve for x
    x = 29,734,174,096/79,306
  6. Step 6: Final answer
    x = 374,929.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.