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Finding the Third Proportional to 195,454 and 425,882

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Solution

The third proportional to 195,454 and 425,882 is: 927,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,454 : 425,882 = 425,882 : x
  2. Step 2: Convert to fraction form
    195,454/425,882 = 425,882/x
  3. Step 3: Cross multiply
    195,454x = 425,882 × 425,882
  4. Step 4: Simplify right side
    195,454x = 181,375,477,924
  5. Step 5: Solve for x
    x = 181,375,477,924/195,454
  6. Step 6: Final answer
    x = 927,970.15

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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.