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Finding the Third Proportional to 159,184 and 348,985

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Solution

The third proportional to 159,184 and 348,985 is: 765,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,184 : 348,985 = 348,985 : x
  2. Step 2: Convert to fraction form
    159,184/348,985 = 348,985/x
  3. Step 3: Cross multiply
    159,184x = 348,985 × 348,985
  4. Step 4: Simplify right side
    159,184x = 121,790,530,225
  5. Step 5: Solve for x
    x = 121,790,530,225/159,184
  6. Step 6: Final answer
    x = 765,092.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.