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Finding the Third Proportional to 165,213 and 262,581

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Solution

The third proportional to 165,213 and 262,581 is: 417,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,213 : 262,581 = 262,581 : x
  2. Step 2: Convert to fraction form
    165,213/262,581 = 262,581/x
  3. Step 3: Cross multiply
    165,213x = 262,581 × 262,581
  4. Step 4: Simplify right side
    165,213x = 68,948,781,561
  5. Step 5: Solve for x
    x = 68,948,781,561/165,213
  6. Step 6: Final answer
    x = 417,332.66

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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.