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Finding the Third Proportional to 108,319 and 238,023

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Solution

The third proportional to 108,319 and 238,023 is: 523,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,319 : 238,023 = 238,023 : x
  2. Step 2: Convert to fraction form
    108,319/238,023 = 238,023/x
  3. Step 3: Cross multiply
    108,319x = 238,023 × 238,023
  4. Step 4: Simplify right side
    108,319x = 56,654,948,529
  5. Step 5: Solve for x
    x = 56,654,948,529/108,319
  6. Step 6: Final answer
    x = 523,037.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.