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Finding the Third Proportional to 135,276 and 210,282

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Solution

The third proportional to 135,276 and 210,282 is: 326,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,276 : 210,282 = 210,282 : x
  2. Step 2: Convert to fraction form
    135,276/210,282 = 210,282/x
  3. Step 3: Cross multiply
    135,276x = 210,282 × 210,282
  4. Step 4: Simplify right side
    135,276x = 44,218,519,524
  5. Step 5: Solve for x
    x = 44,218,519,524/135,276
  6. Step 6: Final answer
    x = 326,876.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.