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Finding the Third Proportional to 131,850 and 204,328

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Solution

The third proportional to 131,850 and 204,328 is: 316,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,850 : 204,328 = 204,328 : x
  2. Step 2: Convert to fraction form
    131,850/204,328 = 204,328/x
  3. Step 3: Cross multiply
    131,850x = 204,328 × 204,328
  4. Step 4: Simplify right side
    131,850x = 41,749,931,584
  5. Step 5: Solve for x
    x = 41,749,931,584/131,850
  6. Step 6: Final answer
    x = 316,647.19

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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.