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Finding the Third Proportional to 165,604 and 262,656

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Solution

The third proportional to 165,604 and 262,656 is: 416,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,604 : 262,656 = 262,656 : x
  2. Step 2: Convert to fraction form
    165,604/262,656 = 262,656/x
  3. Step 3: Cross multiply
    165,604x = 262,656 × 262,656
  4. Step 4: Simplify right side
    165,604x = 68,988,174,336
  5. Step 5: Solve for x
    x = 68,988,174,336/165,604
  6. Step 6: Final answer
    x = 416,585.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.