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Finding the Third Proportional to 121,824 and 293,488

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Solution

The third proportional to 121,824 and 293,488 is: 707,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,824 : 293,488 = 293,488 : x
  2. Step 2: Convert to fraction form
    121,824/293,488 = 293,488/x
  3. Step 3: Cross multiply
    121,824x = 293,488 × 293,488
  4. Step 4: Simplify right side
    121,824x = 86,135,206,144
  5. Step 5: Solve for x
    x = 86,135,206,144/121,824
  6. Step 6: Final answer
    x = 707,046.28

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.