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Finding the Third Proportional to 100,520 and 211,370

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Solution

The third proportional to 100,520 and 211,370 is: 444,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,520 : 211,370 = 211,370 : x
  2. Step 2: Convert to fraction form
    100,520/211,370 = 211,370/x
  3. Step 3: Cross multiply
    100,520x = 211,370 × 211,370
  4. Step 4: Simplify right side
    100,520x = 44,677,276,900
  5. Step 5: Solve for x
    x = 44,677,276,900/100,520
  6. Step 6: Final answer
    x = 444,461.57

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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.