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Finding the Third Proportional to 119,028 and 259,422

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Solution

The third proportional to 119,028 and 259,422 is: 565,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,028 : 259,422 = 259,422 : x
  2. Step 2: Convert to fraction form
    119,028/259,422 = 259,422/x
  3. Step 3: Cross multiply
    119,028x = 259,422 × 259,422
  4. Step 4: Simplify right side
    119,028x = 67,299,774,084
  5. Step 5: Solve for x
    x = 67,299,774,084/119,028
  6. Step 6: Final answer
    x = 565,411.28

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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.