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Finding the Third Proportional to 100,570 and 209,482

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Solution

The third proportional to 100,570 and 209,482 is: 436,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570 : 209,482 = 209,482 : x
  2. Step 2: Convert to fraction form
    100,570/209,482 = 209,482/x
  3. Step 3: Cross multiply
    100,570x = 209,482 × 209,482
  4. Step 4: Simplify right side
    100,570x = 43,882,708,324
  5. Step 5: Solve for x
    x = 43,882,708,324/100,570
  6. Step 6: Final answer
    x = 436,339.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.