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Finding the Third Proportional to 191,974 and 285,961

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Solution

The third proportional to 191,974 and 285,961 is: 425,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,974 : 285,961 = 285,961 : x
  2. Step 2: Convert to fraction form
    191,974/285,961 = 285,961/x
  3. Step 3: Cross multiply
    191,974x = 285,961 × 285,961
  4. Step 4: Simplify right side
    191,974x = 81,773,693,521
  5. Step 5: Solve for x
    x = 81,773,693,521/191,974
  6. Step 6: Final answer
    x = 425,962.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.