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Finding the Third Proportional to 195,444 and 425,862

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Solution

The third proportional to 195,444 and 425,862 is: 927,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,444 : 425,862 = 425,862 : x
  2. Step 2: Convert to fraction form
    195,444/425,862 = 425,862/x
  3. Step 3: Cross multiply
    195,444x = 425,862 × 425,862
  4. Step 4: Simplify right side
    195,444x = 181,358,443,044
  5. Step 5: Solve for x
    x = 181,358,443,044/195,444
  6. Step 6: Final answer
    x = 927,930.47

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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.