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Finding the Third Proportional to 100,522 and 211,376

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Solution

The third proportional to 100,522 and 211,376 is: 444,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522 : 211,376 = 211,376 : x
  2. Step 2: Convert to fraction form
    100,522/211,376 = 211,376/x
  3. Step 3: Cross multiply
    100,522x = 211,376 × 211,376
  4. Step 4: Simplify right side
    100,522x = 44,679,813,376
  5. Step 5: Solve for x
    x = 44,679,813,376/100,522
  6. Step 6: Final answer
    x = 444,477.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.