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Finding the Third Proportional to 159,784 and 348,167

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Solution

The third proportional to 159,784 and 348,167 is: 758,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,784 : 348,167 = 348,167 : x
  2. Step 2: Convert to fraction form
    159,784/348,167 = 348,167/x
  3. Step 3: Cross multiply
    159,784x = 348,167 × 348,167
  4. Step 4: Simplify right side
    159,784x = 121,220,259,889
  5. Step 5: Solve for x
    x = 121,220,259,889/159,784
  6. Step 6: Final answer
    x = 758,650.80

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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.