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Finding the Third Proportional to 230,456 and 309,972

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Solution

The third proportional to 230,456 and 309,972 is: 416,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,456 : 309,972 = 309,972 : x
  2. Step 2: Convert to fraction form
    230,456/309,972 = 309,972/x
  3. Step 3: Cross multiply
    230,456x = 309,972 × 309,972
  4. Step 4: Simplify right side
    230,456x = 96,082,640,784
  5. Step 5: Solve for x
    x = 96,082,640,784/230,456
  6. Step 6: Final answer
    x = 416,924.01

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.