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Finding the Third Proportional to 119,363.43 and 259,069.80

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Solution

The third proportional to 119,363.43 and 259,069.80 is: 562,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,363.43 : 259,069.80 = 259,069.80 : x
  2. Step 2: Convert to fraction form
    119,363.43/259,069.80 = 259,069.80/x
  3. Step 3: Cross multiply
    119,363.43x = 259,069.80 × 259,069.80
  4. Step 4: Simplify right side
    119,363.43x = 67,117,160,664.84
  5. Step 5: Solve for x
    x = 67,117,160,664.84/119,363.43
  6. Step 6: Final answer
    x = 562,292.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.