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Finding the Third Proportional to 159,004.27 and 346,040.07

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Solution

The third proportional to 159,004.27 and 346,040.07 is: 753,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,004.27 : 346,040.07 = 346,040.07 : x
  2. Step 2: Convert to fraction form
    159,004.27/346,040.07 = 346,040.07/x
  3. Step 3: Cross multiply
    159,004.27x = 346,040.07 × 346,040.07
  4. Step 4: Simplify right side
    159,004.27x = 119,743,728,910.16
  5. Step 5: Solve for x
    x = 119,743,728,910.16/159,004.27
  6. Step 6: Final answer
    x = 753,085.01

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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.