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Finding the Third Proportional to 202,969.13 and 309,241.13

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Solution

The third proportional to 202,969.13 and 309,241.13 is: 471,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969.13 : 309,241.13 = 309,241.13 : x
  2. Step 2: Convert to fraction form
    202,969.13/309,241.13 = 309,241.13/x
  3. Step 3: Cross multiply
    202,969.13x = 309,241.13 × 309,241.13
  4. Step 4: Simplify right side
    202,969.13x = 95,630,073,391.27
  5. Step 5: Solve for x
    x = 95,630,073,391.27/202,969.13
  6. Step 6: Final answer
    x = 471,155.77

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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.