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Finding the Third Proportional to 118,920 and 259,224

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Solution

The third proportional to 118,920 and 259,224 is: 565,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,920 : 259,224 = 259,224 : x
  2. Step 2: Convert to fraction form
    118,920/259,224 = 259,224/x
  3. Step 3: Cross multiply
    118,920x = 259,224 × 259,224
  4. Step 4: Simplify right side
    118,920x = 67,197,082,176
  5. Step 5: Solve for x
    x = 67,197,082,176/118,920
  6. Step 6: Final answer
    x = 565,061.24

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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.