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Finding the Third Proportional to 211,167 and 461,700

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Solution

The third proportional to 211,167 and 461,700 is: 1,009,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,167 : 461,700 = 461,700 : x
  2. Step 2: Convert to fraction form
    211,167/461,700 = 461,700/x
  3. Step 3: Cross multiply
    211,167x = 461,700 × 461,700
  4. Step 4: Simplify right side
    211,167x = 213,166,890,000
  5. Step 5: Solve for x
    x = 213,166,890,000/211,167
  6. Step 6: Final answer
    x = 1,009,470.66

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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.