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Finding the Third Proportional to 159,784.50 and 348,171

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Solution

The third proportional to 159,784.50 and 348,171 is: 758,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,784.50 : 348,171 = 348,171 : x
  2. Step 2: Convert to fraction form
    159,784.50/348,171 = 348,171/x
  3. Step 3: Cross multiply
    159,784.50x = 348,171 × 348,171
  4. Step 4: Simplify right side
    159,784.50x = 121,223,045,241
  5. Step 5: Solve for x
    x = 121,223,045,241/159,784.50
  6. Step 6: Final answer
    x = 758,665.86

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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.