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Finding the Third Proportional to 215,970 and 243,034

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Solution

The third proportional to 215,970 and 243,034 is: 273,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,970 : 243,034 = 243,034 : x
  2. Step 2: Convert to fraction form
    215,970/243,034 = 243,034/x
  3. Step 3: Cross multiply
    215,970x = 243,034 × 243,034
  4. Step 4: Simplify right side
    215,970x = 59,065,525,156
  5. Step 5: Solve for x
    x = 59,065,525,156/215,970
  6. Step 6: Final answer
    x = 273,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.