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Finding the Third Proportional to 226,617 and 333,660

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Solution

The third proportional to 226,617 and 333,660 is: 491,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,617 : 333,660 = 333,660 : x
  2. Step 2: Convert to fraction form
    226,617/333,660 = 333,660/x
  3. Step 3: Cross multiply
    226,617x = 333,660 × 333,660
  4. Step 4: Simplify right side
    226,617x = 111,328,995,600
  5. Step 5: Solve for x
    x = 111,328,995,600/226,617
  6. Step 6: Final answer
    x = 491,264.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.