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Finding the Third Proportional to 142,665.38 and 337,388.25

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Solution

The third proportional to 142,665.38 and 337,388.25 is: 797,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,665.38 : 337,388.25 = 337,388.25 : x
  2. Step 2: Convert to fraction form
    142,665.38/337,388.25 = 337,388.25/x
  3. Step 3: Cross multiply
    142,665.38x = 337,388.25 × 337,388.25
  4. Step 4: Simplify right side
    142,665.38x = 113,830,831,238.06
  5. Step 5: Solve for x
    x = 113,830,831,238.06/142,665.38
  6. Step 6: Final answer
    x = 797,886.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.