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Finding the Third Proportional to 202,332 and 302,110

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Solution

The third proportional to 202,332 and 302,110 is: 451,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,332 : 302,110 = 302,110 : x
  2. Step 2: Convert to fraction form
    202,332/302,110 = 302,110/x
  3. Step 3: Cross multiply
    202,332x = 302,110 × 302,110
  4. Step 4: Simplify right side
    202,332x = 91,270,452,100
  5. Step 5: Solve for x
    x = 91,270,452,100/202,332
  6. Step 6: Final answer
    x = 451,092.52

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