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Finding the Third Proportional to 165,710 and 260,373

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Solution

The third proportional to 165,710 and 260,373 is: 409,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,710 : 260,373 = 260,373 : x
  2. Step 2: Convert to fraction form
    165,710/260,373 = 260,373/x
  3. Step 3: Cross multiply
    165,710x = 260,373 × 260,373
  4. Step 4: Simplify right side
    165,710x = 67,794,099,129
  5. Step 5: Solve for x
    x = 67,794,099,129/165,710
  6. Step 6: Final answer
    x = 409,112.90

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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.