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Finding the Third Proportional to 202,816.50 and 293,760.38

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Solution

The third proportional to 202,816.50 and 293,760.38 is: 425,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.50 : 293,760.38 = 293,760.38 : x
  2. Step 2: Convert to fraction form
    202,816.50/293,760.38 = 293,760.38/x
  3. Step 3: Cross multiply
    202,816.50x = 293,760.38 × 293,760.38
  4. Step 4: Simplify right side
    202,816.50x = 86,295,157,920.14
  5. Step 5: Solve for x
    x = 86,295,157,920.14/202,816.50
  6. Step 6: Final answer
    x = 425,483.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.