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Finding the Third Proportional to 202,837.50 and 293,797.13

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Solution

The third proportional to 202,837.50 and 293,797.13 is: 425,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,837.50 : 293,797.13 = 293,797.13 : x
  2. Step 2: Convert to fraction form
    202,837.50/293,797.13 = 293,797.13/x
  3. Step 3: Cross multiply
    202,837.50x = 293,797.13 × 293,797.13
  4. Step 4: Simplify right side
    202,837.50x = 86,316,750,658.27
  5. Step 5: Solve for x
    x = 86,316,750,658.27/202,837.50
  6. Step 6: Final answer
    x = 425,546.31

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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.