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Finding the Third Proportional to 159,520.50 and 348,018.75

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Solution

The third proportional to 159,520.50 and 348,018.75 is: 759,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,520.50 : 348,018.75 = 348,018.75 : x
  2. Step 2: Convert to fraction form
    159,520.50/348,018.75 = 348,018.75/x
  3. Step 3: Cross multiply
    159,520.50x = 348,018.75 × 348,018.75
  4. Step 4: Simplify right side
    159,520.50x = 121,117,050,351.56
  5. Step 5: Solve for x
    x = 121,117,050,351.56/159,520.50
  6. Step 6: Final answer
    x = 759,256.96

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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.