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Finding the Third Proportional to 211,356 and 440,167.50

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Solution

The third proportional to 211,356 and 440,167.50 is: 916,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,356 : 440,167.50 = 440,167.50 : x
  2. Step 2: Convert to fraction form
    211,356/440,167.50 = 440,167.50/x
  3. Step 3: Cross multiply
    211,356x = 440,167.50 × 440,167.50
  4. Step 4: Simplify right side
    211,356x = 193,747,428,056.25
  5. Step 5: Solve for x
    x = 193,747,428,056.25/211,356
  6. Step 6: Final answer
    x = 916,687.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.