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Finding the Third Proportional to 202,320.28 and 302,092.03

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Solution

The third proportional to 202,320.28 and 302,092.03 is: 451,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,320.28 : 302,092.03 = 302,092.03 : x
  2. Step 2: Convert to fraction form
    202,320.28/302,092.03 = 302,092.03/x
  3. Step 3: Cross multiply
    202,320.28x = 302,092.03 × 302,092.03
  4. Step 4: Simplify right side
    202,320.28x = 91,259,595,344.75
  5. Step 5: Solve for x
    x = 91,259,595,344.75/202,320.28
  6. Step 6: Final answer
    x = 451,064.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.