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Finding the Third Proportional to 195,263 and 402,187

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Solution

The third proportional to 195,263 and 402,187 is: 828,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,263 : 402,187 = 402,187 : x
  2. Step 2: Convert to fraction form
    195,263/402,187 = 402,187/x
  3. Step 3: Cross multiply
    195,263x = 402,187 × 402,187
  4. Step 4: Simplify right side
    195,263x = 161,754,382,969
  5. Step 5: Solve for x
    x = 161,754,382,969/195,263
  6. Step 6: Final answer
    x = 828,392.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.