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Finding the Third Proportional to 202,641 and 469,119.75

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Solution

The third proportional to 202,641 and 469,119.75 is: 1,086,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,641 : 469,119.75 = 469,119.75 : x
  2. Step 2: Convert to fraction form
    202,641/469,119.75 = 469,119.75/x
  3. Step 3: Cross multiply
    202,641x = 469,119.75 × 469,119.75
  4. Step 4: Simplify right side
    202,641x = 220,073,339,840.06
  5. Step 5: Solve for x
    x = 220,073,339,840.06/202,641
  6. Step 6: Final answer
    x = 1,086,025.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.