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Finding the Third Proportional to 193,537.50 and 293,223

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Solution

The third proportional to 193,537.50 and 293,223 is: 444,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,537.50 : 293,223 = 293,223 : x
  2. Step 2: Convert to fraction form
    193,537.50/293,223 = 293,223/x
  3. Step 3: Cross multiply
    193,537.50x = 293,223 × 293,223
  4. Step 4: Simplify right side
    193,537.50x = 85,979,727,729
  5. Step 5: Solve for x
    x = 85,979,727,729/193,537.50
  6. Step 6: Final answer
    x = 444,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.