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Finding the Third Proportional to 118,224 and 259,424

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Solution

The third proportional to 118,224 and 259,424 is: 569,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,224 : 259,424 = 259,424 : x
  2. Step 2: Convert to fraction form
    118,224/259,424 = 259,424/x
  3. Step 3: Cross multiply
    118,224x = 259,424 × 259,424
  4. Step 4: Simplify right side
    118,224x = 67,300,811,776
  5. Step 5: Solve for x
    x = 67,300,811,776/118,224
  6. Step 6: Final answer
    x = 569,265.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.