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Finding the Third Proportional to 135,952 and 206,232

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Solution

The third proportional to 135,952 and 206,232 is: 312,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,952 : 206,232 = 206,232 : x
  2. Step 2: Convert to fraction form
    135,952/206,232 = 206,232/x
  3. Step 3: Cross multiply
    135,952x = 206,232 × 206,232
  4. Step 4: Simplify right side
    135,952x = 42,531,637,824
  5. Step 5: Solve for x
    x = 42,531,637,824/135,952
  6. Step 6: Final answer
    x = 312,843.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.