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Finding the Third Proportional to 189,438 and 414,552

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Solution

The third proportional to 189,438 and 414,552 is: 907,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,438 : 414,552 = 414,552 : x
  2. Step 2: Convert to fraction form
    189,438/414,552 = 414,552/x
  3. Step 3: Cross multiply
    189,438x = 414,552 × 414,552
  4. Step 4: Simplify right side
    189,438x = 171,853,360,704
  5. Step 5: Solve for x
    x = 171,853,360,704/189,438
  6. Step 6: Final answer
    x = 907,174.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.