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Finding the Third Proportional to 204,282 and 436,358

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Solution

The third proportional to 204,282 and 436,358 is: 932,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,282 : 436,358 = 436,358 : x
  2. Step 2: Convert to fraction form
    204,282/436,358 = 436,358/x
  3. Step 3: Cross multiply
    204,282x = 436,358 × 436,358
  4. Step 4: Simplify right side
    204,282x = 190,408,304,164
  5. Step 5: Solve for x
    x = 190,408,304,164/204,282
  6. Step 6: Final answer
    x = 932,085.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.