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Finding the Third Proportional to 159,288 and 347,088

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Solution

The third proportional to 159,288 and 347,088 is: 756,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,288 : 347,088 = 347,088 : x
  2. Step 2: Convert to fraction form
    159,288/347,088 = 347,088/x
  3. Step 3: Cross multiply
    159,288x = 347,088 × 347,088
  4. Step 4: Simplify right side
    159,288x = 120,470,079,744
  5. Step 5: Solve for x
    x = 120,470,079,744/159,288
  6. Step 6: Final answer
    x = 756,303.55

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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.