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Finding the Third Proportional to 231,818 and 330,878

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Solution

The third proportional to 231,818 and 330,878 is: 472,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,818 : 330,878 = 330,878 : x
  2. Step 2: Convert to fraction form
    231,818/330,878 = 330,878/x
  3. Step 3: Cross multiply
    231,818x = 330,878 × 330,878
  4. Step 4: Simplify right side
    231,818x = 109,480,250,884
  5. Step 5: Solve for x
    x = 109,480,250,884/231,818
  6. Step 6: Final answer
    x = 472,268.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.