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Finding the Third Proportional to 92,718 and 201,384

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Solution

The third proportional to 92,718 and 201,384 is: 437,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,718 : 201,384 = 201,384 : x
  2. Step 2: Convert to fraction form
    92,718/201,384 = 201,384/x
  3. Step 3: Cross multiply
    92,718x = 201,384 × 201,384
  4. Step 4: Simplify right side
    92,718x = 40,555,515,456
  5. Step 5: Solve for x
    x = 40,555,515,456/92,718
  6. Step 6: Final answer
    x = 437,407.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.