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Finding the Third Proportional to 92,273.50 and 201,223

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Solution

The third proportional to 92,273.50 and 201,223 is: 438,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,273.50 : 201,223 = 201,223 : x
  2. Step 2: Convert to fraction form
    92,273.50/201,223 = 201,223/x
  3. Step 3: Cross multiply
    92,273.50x = 201,223 × 201,223
  4. Step 4: Simplify right side
    92,273.50x = 40,490,695,729
  5. Step 5: Solve for x
    x = 40,490,695,729/92,273.50
  6. Step 6: Final answer
    x = 438,811.75

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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.