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Finding the Third Proportional to 108,760 and 238,904

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Solution

The third proportional to 108,760 and 238,904 is: 524,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,760 : 238,904 = 238,904 : x
  2. Step 2: Convert to fraction form
    108,760/238,904 = 238,904/x
  3. Step 3: Cross multiply
    108,760x = 238,904 × 238,904
  4. Step 4: Simplify right side
    108,760x = 57,075,121,216
  5. Step 5: Solve for x
    x = 57,075,121,216/108,760
  6. Step 6: Final answer
    x = 524,780.45

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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.