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Finding the Third Proportional to 100,526 and 216,497

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Solution

The third proportional to 100,526 and 216,497 is: 466,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,526 : 216,497 = 216,497 : x
  2. Step 2: Convert to fraction form
    100,526/216,497 = 216,497/x
  3. Step 3: Cross multiply
    100,526x = 216,497 × 216,497
  4. Step 4: Simplify right side
    100,526x = 46,870,951,009
  5. Step 5: Solve for x
    x = 46,870,951,009/100,526
  6. Step 6: Final answer
    x = 466,257.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.