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Finding the Third Proportional to 131,943 and 204,368

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Solution

The third proportional to 131,943 and 204,368 is: 316,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,943 : 204,368 = 204,368 : x
  2. Step 2: Convert to fraction form
    131,943/204,368 = 204,368/x
  3. Step 3: Cross multiply
    131,943x = 204,368 × 204,368
  4. Step 4: Simplify right side
    131,943x = 41,766,279,424
  5. Step 5: Solve for x
    x = 41,766,279,424/131,943
  6. Step 6: Final answer
    x = 316,547.90

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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.