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Finding the Third Proportional to 165,748 and 262,872

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Solution

The third proportional to 165,748 and 262,872 is: 416,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,748 : 262,872 = 262,872 : x
  2. Step 2: Convert to fraction form
    165,748/262,872 = 262,872/x
  3. Step 3: Cross multiply
    165,748x = 262,872 × 262,872
  4. Step 4: Simplify right side
    165,748x = 69,101,688,384
  5. Step 5: Solve for x
    x = 69,101,688,384/165,748
  6. Step 6: Final answer
    x = 416,908.13

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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.