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Finding the Third Proportional to 119,322 and 259,947

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Solution

The third proportional to 119,322 and 259,947 is: 566,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,322 : 259,947 = 259,947 : x
  2. Step 2: Convert to fraction form
    119,322/259,947 = 259,947/x
  3. Step 3: Cross multiply
    119,322x = 259,947 × 259,947
  4. Step 4: Simplify right side
    119,322x = 67,572,442,809
  5. Step 5: Solve for x
    x = 67,572,442,809/119,322
  6. Step 6: Final answer
    x = 566,303.30

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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.