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Finding the Third Proportional to 180,470 and 206,714

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Solution

The third proportional to 180,470 and 206,714 is: 236,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,470 : 206,714 = 206,714 : x
  2. Step 2: Convert to fraction form
    180,470/206,714 = 206,714/x
  3. Step 3: Cross multiply
    180,470x = 206,714 × 206,714
  4. Step 4: Simplify right side
    180,470x = 42,730,677,796
  5. Step 5: Solve for x
    x = 42,730,677,796/180,470
  6. Step 6: Final answer
    x = 236,774.41

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.