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Finding the Third Proportional to 92,328 and 202,224

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Solution

The third proportional to 92,328 and 202,224 is: 442,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,328 : 202,224 = 202,224 : x
  2. Step 2: Convert to fraction form
    92,328/202,224 = 202,224/x
  3. Step 3: Cross multiply
    92,328x = 202,224 × 202,224
  4. Step 4: Simplify right side
    92,328x = 40,894,546,176
  5. Step 5: Solve for x
    x = 40,894,546,176/92,328
  6. Step 6: Final answer
    x = 442,926.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.