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Finding the Third Proportional to 205,666 and 417,056

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Solution

The third proportional to 205,666 and 417,056 is: 845,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,666 : 417,056 = 417,056 : x
  2. Step 2: Convert to fraction form
    205,666/417,056 = 417,056/x
  3. Step 3: Cross multiply
    205,666x = 417,056 × 417,056
  4. Step 4: Simplify right side
    205,666x = 173,935,707,136
  5. Step 5: Solve for x
    x = 173,935,707,136/205,666
  6. Step 6: Final answer
    x = 845,719.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.