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Finding the Third Proportional to 165,704 and 260,364

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Solution

The third proportional to 165,704 and 260,364 is: 409,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,704 : 260,364 = 260,364 : x
  2. Step 2: Convert to fraction form
    165,704/260,364 = 260,364/x
  3. Step 3: Cross multiply
    165,704x = 260,364 × 260,364
  4. Step 4: Simplify right side
    165,704x = 67,789,412,496
  5. Step 5: Solve for x
    x = 67,789,412,496/165,704
  6. Step 6: Final answer
    x = 409,099.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.