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Finding the Third Proportional to 159,571.69 and 345,718.13

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Solution

The third proportional to 159,571.69 and 345,718.13 is: 749,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,571.69 : 345,718.13 = 345,718.13 : x
  2. Step 2: Convert to fraction form
    159,571.69/345,718.13 = 345,718.13/x
  3. Step 3: Cross multiply
    159,571.69x = 345,718.13 × 345,718.13
  4. Step 4: Simplify right side
    159,571.69x = 119,521,021,953.52
  5. Step 5: Solve for x
    x = 119,521,021,953.52/159,571.69
  6. Step 6: Final answer
    x = 749,011.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.