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Finding the Third Proportional to 212,947 and 432,151

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Solution

The third proportional to 212,947 and 432,151 is: 876,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,947 : 432,151 = 432,151 : x
  2. Step 2: Convert to fraction form
    212,947/432,151 = 432,151/x
  3. Step 3: Cross multiply
    212,947x = 432,151 × 432,151
  4. Step 4: Simplify right side
    212,947x = 186,754,486,801
  5. Step 5: Solve for x
    x = 186,754,486,801/212,947
  6. Step 6: Final answer
    x = 876,999.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.