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Finding the Third Proportional to 165,217 and 262,587

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Solution

The third proportional to 165,217 and 262,587 is: 417,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,217 : 262,587 = 262,587 : x
  2. Step 2: Convert to fraction form
    165,217/262,587 = 262,587/x
  3. Step 3: Cross multiply
    165,217x = 262,587 × 262,587
  4. Step 4: Simplify right side
    165,217x = 68,951,932,569
  5. Step 5: Solve for x
    x = 68,951,932,569/165,217
  6. Step 6: Final answer
    x = 417,341.63

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