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Finding the Third Proportional to 230,132 and 476,242

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Solution

The third proportional to 230,132 and 476,242 is: 985,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,132 : 476,242 = 476,242 : x
  2. Step 2: Convert to fraction form
    230,132/476,242 = 476,242/x
  3. Step 3: Cross multiply
    230,132x = 476,242 × 476,242
  4. Step 4: Simplify right side
    230,132x = 226,806,442,564
  5. Step 5: Solve for x
    x = 226,806,442,564/230,132
  6. Step 6: Final answer
    x = 985,549.35

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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.