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Finding the Third Proportional to 141,230 and 207,133

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Solution

The third proportional to 141,230 and 207,133 is: 303,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,230 : 207,133 = 207,133 : x
  2. Step 2: Convert to fraction form
    141,230/207,133 = 207,133/x
  3. Step 3: Cross multiply
    141,230x = 207,133 × 207,133
  4. Step 4: Simplify right side
    141,230x = 42,904,079,689
  5. Step 5: Solve for x
    x = 42,904,079,689/141,230
  6. Step 6: Final answer
    x = 303,788.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.