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Finding the Third Proportional to 180,468 and 206,712

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Solution

The third proportional to 180,468 and 206,712 is: 236,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468 : 206,712 = 206,712 : x
  2. Step 2: Convert to fraction form
    180,468/206,712 = 206,712/x
  3. Step 3: Cross multiply
    180,468x = 206,712 × 206,712
  4. Step 4: Simplify right side
    180,468x = 42,729,850,944
  5. Step 5: Solve for x
    x = 42,729,850,944/180,468
  6. Step 6: Final answer
    x = 236,772.45

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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.