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Finding the Third Proportional to 165,696 and 260,352

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Solution

The third proportional to 165,696 and 260,352 is: 409,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,696 : 260,352 = 260,352 : x
  2. Step 2: Convert to fraction form
    165,696/260,352 = 260,352/x
  3. Step 3: Cross multiply
    165,696x = 260,352 × 260,352
  4. Step 4: Simplify right side
    165,696x = 67,783,163,904
  5. Step 5: Solve for x
    x = 67,783,163,904/165,696
  6. Step 6: Final answer
    x = 409,081.47

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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.