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Finding the Third Proportional to 163,529 and 346,870

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Solution

The third proportional to 163,529 and 346,870 is: 735,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,529 : 346,870 = 346,870 : x
  2. Step 2: Convert to fraction form
    163,529/346,870 = 346,870/x
  3. Step 3: Cross multiply
    163,529x = 346,870 × 346,870
  4. Step 4: Simplify right side
    163,529x = 120,318,796,900
  5. Step 5: Solve for x
    x = 120,318,796,900/163,529
  6. Step 6: Final answer
    x = 735,764.28

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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.