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Finding the Third Proportional to 108,920 and 237,219

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Solution

The third proportional to 108,920 and 237,219 is: 516,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,920 : 237,219 = 237,219 : x
  2. Step 2: Convert to fraction form
    108,920/237,219 = 237,219/x
  3. Step 3: Cross multiply
    108,920x = 237,219 × 237,219
  4. Step 4: Simplify right side
    108,920x = 56,272,853,961
  5. Step 5: Solve for x
    x = 56,272,853,961/108,920
  6. Step 6: Final answer
    x = 516,643.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.