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Finding the Third Proportional to 200,670 and 243,741

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Solution

The third proportional to 200,670 and 243,741 is: 296,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,670 : 243,741 = 243,741 : x
  2. Step 2: Convert to fraction form
    200,670/243,741 = 243,741/x
  3. Step 3: Cross multiply
    200,670x = 243,741 × 243,741
  4. Step 4: Simplify right side
    200,670x = 59,409,675,081
  5. Step 5: Solve for x
    x = 59,409,675,081/200,670
  6. Step 6: Final answer
    x = 296,056.59

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.