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Finding the Third Proportional to 195,357 and 401,070

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Solution

The third proportional to 195,357 and 401,070 is: 823,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,357 : 401,070 = 401,070 : x
  2. Step 2: Convert to fraction form
    195,357/401,070 = 401,070/x
  3. Step 3: Cross multiply
    195,357x = 401,070 × 401,070
  4. Step 4: Simplify right side
    195,357x = 160,857,144,900
  5. Step 5: Solve for x
    x = 160,857,144,900/195,357
  6. Step 6: Final answer
    x = 823,400.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.