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Finding the Third Proportional to 121,393.69 and 259,417.69

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Solution

The third proportional to 121,393.69 and 259,417.69 is: 554,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,393.69 : 259,417.69 = 259,417.69 : x
  2. Step 2: Convert to fraction form
    121,393.69/259,417.69 = 259,417.69/x
  3. Step 3: Cross multiply
    121,393.69x = 259,417.69 × 259,417.69
  4. Step 4: Simplify right side
    121,393.69x = 67,297,536,587.85
  5. Step 5: Solve for x
    x = 67,297,536,587.85/121,393.69
  6. Step 6: Final answer
    x = 554,374.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.