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Finding the Third Proportional to 229,878 and 306,801

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Solution

The third proportional to 229,878 and 306,801 is: 409,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,878 : 306,801 = 306,801 : x
  2. Step 2: Convert to fraction form
    229,878/306,801 = 306,801/x
  3. Step 3: Cross multiply
    229,878x = 306,801 × 306,801
  4. Step 4: Simplify right side
    229,878x = 94,126,853,601
  5. Step 5: Solve for x
    x = 94,126,853,601/229,878
  6. Step 6: Final answer
    x = 409,464.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.