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Finding the Third Proportional to 187,271.37 and 412,716.52

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Solution

The third proportional to 187,271.37 and 412,716.52 is: 909,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,271.37 : 412,716.52 = 412,716.52 : x
  2. Step 2: Convert to fraction form
    187,271.37/412,716.52 = 412,716.52/x
  3. Step 3: Cross multiply
    187,271.37x = 412,716.52 × 412,716.52
  4. Step 4: Simplify right side
    187,271.37x = 170,334,922,269.64
  5. Step 5: Solve for x
    x = 170,334,922,269.64/187,271.37
  6. Step 6: Final answer
    x = 909,562.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.