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Finding the Third Proportional to 189,544 and 405,332

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Solution

The third proportional to 189,544 and 405,332 is: 866,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,544 : 405,332 = 405,332 : x
  2. Step 2: Convert to fraction form
    189,544/405,332 = 405,332/x
  3. Step 3: Cross multiply
    189,544x = 405,332 × 405,332
  4. Step 4: Simplify right side
    189,544x = 164,294,030,224
  5. Step 5: Solve for x
    x = 164,294,030,224/189,544
  6. Step 6: Final answer
    x = 866,785.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.