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Finding the Third Proportional to 223,712 and 338,828

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Solution

The third proportional to 223,712 and 338,828 is: 513,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,712 : 338,828 = 338,828 : x
  2. Step 2: Convert to fraction form
    223,712/338,828 = 338,828/x
  3. Step 3: Cross multiply
    223,712x = 338,828 × 338,828
  4. Step 4: Simplify right side
    223,712x = 114,804,413,584
  5. Step 5: Solve for x
    x = 114,804,413,584/223,712
  6. Step 6: Final answer
    x = 513,179.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.