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Finding the Third Proportional to 172,988 and 371,846

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Solution

The third proportional to 172,988 and 371,846 is: 799,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,988 : 371,846 = 371,846 : x
  2. Step 2: Convert to fraction form
    172,988/371,846 = 371,846/x
  3. Step 3: Cross multiply
    172,988x = 371,846 × 371,846
  4. Step 4: Simplify right side
    172,988x = 138,269,447,716
  5. Step 5: Solve for x
    x = 138,269,447,716/172,988
  6. Step 6: Final answer
    x = 799,300.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.