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Finding the Third Proportional to 131,850 and 204,330

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Solution

The third proportional to 131,850 and 204,330 is: 316,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,850 : 204,330 = 204,330 : x
  2. Step 2: Convert to fraction form
    131,850/204,330 = 204,330/x
  3. Step 3: Cross multiply
    131,850x = 204,330 × 204,330
  4. Step 4: Simplify right side
    131,850x = 41,750,748,900
  5. Step 5: Solve for x
    x = 41,750,748,900/131,850
  6. Step 6: Final answer
    x = 316,653.39

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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.