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Finding the Third Proportional to 152,016 and 323,718

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Solution

The third proportional to 152,016 and 323,718 is: 689,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,016 : 323,718 = 323,718 : x
  2. Step 2: Convert to fraction form
    152,016/323,718 = 323,718/x
  3. Step 3: Cross multiply
    152,016x = 323,718 × 323,718
  4. Step 4: Simplify right side
    152,016x = 104,793,343,524
  5. Step 5: Solve for x
    x = 104,793,343,524/152,016
  6. Step 6: Final answer
    x = 689,357.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.