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Finding the Third Proportional to 119,295 and 259,580.25

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Solution

The third proportional to 119,295 and 259,580.25 is: 564,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295 : 259,580.25 = 259,580.25 : x
  2. Step 2: Convert to fraction form
    119,295/259,580.25 = 259,580.25/x
  3. Step 3: Cross multiply
    119,295x = 259,580.25 × 259,580.25
  4. Step 4: Simplify right side
    119,295x = 67,381,906,190.06
  5. Step 5: Solve for x
    x = 67,381,906,190.06/119,295
  6. Step 6: Final answer
    x = 564,834.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.