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Finding the Third Proportional to 163,524 and 346,839

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Solution

The third proportional to 163,524 and 346,839 is: 735,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,524 : 346,839 = 346,839 : x
  2. Step 2: Convert to fraction form
    163,524/346,839 = 346,839/x
  3. Step 3: Cross multiply
    163,524x = 346,839 × 346,839
  4. Step 4: Simplify right side
    163,524x = 120,297,291,921
  5. Step 5: Solve for x
    x = 120,297,291,921/163,524
  6. Step 6: Final answer
    x = 735,655.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.