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Finding the Third Proportional to 101,716 and 236,246

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Solution

The third proportional to 101,716 and 236,246 is: 548,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,716 : 236,246 = 236,246 : x
  2. Step 2: Convert to fraction form
    101,716/236,246 = 236,246/x
  3. Step 3: Cross multiply
    101,716x = 236,246 × 236,246
  4. Step 4: Simplify right side
    101,716x = 55,812,172,516
  5. Step 5: Solve for x
    x = 55,812,172,516/101,716
  6. Step 6: Final answer
    x = 548,705.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.