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Finding the Third Proportional to 202,330 and 302,107

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Solution

The third proportional to 202,330 and 302,107 is: 451,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,330 : 302,107 = 302,107 : x
  2. Step 2: Convert to fraction form
    202,330/302,107 = 302,107/x
  3. Step 3: Cross multiply
    202,330x = 302,107 × 302,107
  4. Step 4: Simplify right side
    202,330x = 91,268,639,449
  5. Step 5: Solve for x
    x = 91,268,639,449/202,330
  6. Step 6: Final answer
    x = 451,088.02

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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.