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Finding the Third Proportional to 138,078 and 297,884.25

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Solution

The third proportional to 138,078 and 297,884.25 is: 642,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,078 : 297,884.25 = 297,884.25 : x
  2. Step 2: Convert to fraction form
    138,078/297,884.25 = 297,884.25/x
  3. Step 3: Cross multiply
    138,078x = 297,884.25 × 297,884.25
  4. Step 4: Simplify right side
    138,078x = 88,735,026,398.06
  5. Step 5: Solve for x
    x = 88,735,026,398.06/138,078
  6. Step 6: Final answer
    x = 642,644.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.