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Finding the Third Proportional to 165,708 and 260,370

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Solution

The third proportional to 165,708 and 260,370 is: 409,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,708 : 260,370 = 260,370 : x
  2. Step 2: Convert to fraction form
    165,708/260,370 = 260,370/x
  3. Step 3: Cross multiply
    165,708x = 260,370 × 260,370
  4. Step 4: Simplify right side
    165,708x = 67,792,536,900
  5. Step 5: Solve for x
    x = 67,792,536,900/165,708
  6. Step 6: Final answer
    x = 409,108.41

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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.