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Finding the Third Proportional to 92,278.50 and 201,233

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Solution

The third proportional to 92,278.50 and 201,233 is: 438,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278.50 : 201,233 = 201,233 : x
  2. Step 2: Convert to fraction form
    92,278.50/201,233 = 201,233/x
  3. Step 3: Cross multiply
    92,278.50x = 201,233 × 201,233
  4. Step 4: Simplify right side
    92,278.50x = 40,494,720,289
  5. Step 5: Solve for x
    x = 40,494,720,289/92,278.50
  6. Step 6: Final answer
    x = 438,831.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.