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Finding the Third Proportional to 202,357.88 and 292,349.25

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Solution

The third proportional to 202,357.88 and 292,349.25 is: 422,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.88 : 292,349.25 = 292,349.25 : x
  2. Step 2: Convert to fraction form
    202,357.88/292,349.25 = 292,349.25/x
  3. Step 3: Cross multiply
    202,357.88x = 292,349.25 × 292,349.25
  4. Step 4: Simplify right side
    202,357.88x = 85,468,083,975.56
  5. Step 5: Solve for x
    x = 85,468,083,975.56/202,357.88
  6. Step 6: Final answer
    x = 422,361.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.