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Finding the Third Proportional to 100,785 and 211,290

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Solution

The third proportional to 100,785 and 211,290 is: 442,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,785 : 211,290 = 211,290 : x
  2. Step 2: Convert to fraction form
    100,785/211,290 = 211,290/x
  3. Step 3: Cross multiply
    100,785x = 211,290 × 211,290
  4. Step 4: Simplify right side
    100,785x = 44,643,464,100
  5. Step 5: Solve for x
    x = 44,643,464,100/100,785
  6. Step 6: Final answer
    x = 442,957.43

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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.