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Finding the Third Proportional to 108,749 and 238,774

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Solution

The third proportional to 108,749 and 238,774 is: 524,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,749 : 238,774 = 238,774 : x
  2. Step 2: Convert to fraction form
    108,749/238,774 = 238,774/x
  3. Step 3: Cross multiply
    108,749x = 238,774 × 238,774
  4. Step 4: Simplify right side
    108,749x = 57,013,023,076
  5. Step 5: Solve for x
    x = 57,013,023,076/108,749
  6. Step 6: Final answer
    x = 524,262.50

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