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Finding the Third Proportional to 145,408 and 218,841

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Solution

The third proportional to 145,408 and 218,841 is: 329,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408 : 218,841 = 218,841 : x
  2. Step 2: Convert to fraction form
    145,408/218,841 = 218,841/x
  3. Step 3: Cross multiply
    145,408x = 218,841 × 218,841
  4. Step 4: Simplify right side
    145,408x = 47,891,383,281
  5. Step 5: Solve for x
    x = 47,891,383,281/145,408
  6. Step 6: Final answer
    x = 329,358.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.