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Finding the Third Proportional to 189,977.63 and 412,881.75

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Solution

The third proportional to 189,977.63 and 412,881.75 is: 897,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,977.63 : 412,881.75 = 412,881.75 : x
  2. Step 2: Convert to fraction form
    189,977.63/412,881.75 = 412,881.75/x
  3. Step 3: Cross multiply
    189,977.63x = 412,881.75 × 412,881.75
  4. Step 4: Simplify right side
    189,977.63x = 170,471,339,483.06
  5. Step 5: Solve for x
    x = 170,471,339,483.06/189,977.63
  6. Step 6: Final answer
    x = 897,323.25

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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.