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Finding the Third Proportional to 230,121 and 476,219.25

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Solution

The third proportional to 230,121 and 476,219.25 is: 985,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,121 : 476,219.25 = 476,219.25 : x
  2. Step 2: Convert to fraction form
    230,121/476,219.25 = 476,219.25/x
  3. Step 3: Cross multiply
    230,121x = 476,219.25 × 476,219.25
  4. Step 4: Simplify right side
    230,121x = 226,784,774,070.56
  5. Step 5: Solve for x
    x = 226,784,774,070.56/230,121
  6. Step 6: Final answer
    x = 985,502.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.