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Finding the Third Proportional to 189,267 and 416,937

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Solution

The third proportional to 189,267 and 416,937 is: 918,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,267 : 416,937 = 416,937 : x
  2. Step 2: Convert to fraction form
    189,267/416,937 = 416,937/x
  3. Step 3: Cross multiply
    189,267x = 416,937 × 416,937
  4. Step 4: Simplify right side
    189,267x = 173,836,461,969
  5. Step 5: Solve for x
    x = 173,836,461,969/189,267
  6. Step 6: Final answer
    x = 918,472.12

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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.