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Finding the Third Proportional to 118,220 and 259,408

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Solution

The third proportional to 118,220 and 259,408 is: 569,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,220 : 259,408 = 259,408 : x
  2. Step 2: Convert to fraction form
    118,220/259,408 = 259,408/x
  3. Step 3: Cross multiply
    118,220x = 259,408 × 259,408
  4. Step 4: Simplify right side
    118,220x = 67,292,510,464
  5. Step 5: Solve for x
    x = 67,292,510,464/118,220
  6. Step 6: Final answer
    x = 569,214.27

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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.