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Finding the Third Proportional to 119,772 and 259,478

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Solution

The third proportional to 119,772 and 259,478 is: 562,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,772 : 259,478 = 259,478 : x
  2. Step 2: Convert to fraction form
    119,772/259,478 = 259,478/x
  3. Step 3: Cross multiply
    119,772x = 259,478 × 259,478
  4. Step 4: Simplify right side
    119,772x = 67,328,832,484
  5. Step 5: Solve for x
    x = 67,328,832,484/119,772
  6. Step 6: Final answer
    x = 562,141.67

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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.