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Finding the Third Proportional to 195,448 and 425,870

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Solution

The third proportional to 195,448 and 425,870 is: 927,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,448 : 425,870 = 425,870 : x
  2. Step 2: Convert to fraction form
    195,448/425,870 = 425,870/x
  3. Step 3: Cross multiply
    195,448x = 425,870 × 425,870
  4. Step 4: Simplify right side
    195,448x = 181,365,256,900
  5. Step 5: Solve for x
    x = 181,365,256,900/195,448
  6. Step 6: Final answer
    x = 927,946.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.