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Finding the Third Proportional to 215,970 and 243,034.50

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Solution

The third proportional to 215,970 and 243,034.50 is: 273,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,970 : 243,034.50 = 243,034.50 : x
  2. Step 2: Convert to fraction form
    215,970/243,034.50 = 243,034.50/x
  3. Step 3: Cross multiply
    215,970x = 243,034.50 × 243,034.50
  4. Step 4: Simplify right side
    215,970x = 59,065,768,190.25
  5. Step 5: Solve for x
    x = 59,065,768,190.25/215,970
  6. Step 6: Final answer
    x = 273,490.62

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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.