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Finding the Third Proportional to 154,146.38 and 337,749.75

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Solution

The third proportional to 154,146.38 and 337,749.75 is: 740,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,146.38 : 337,749.75 = 337,749.75 : x
  2. Step 2: Convert to fraction form
    154,146.38/337,749.75 = 337,749.75/x
  3. Step 3: Cross multiply
    154,146.38x = 337,749.75 × 337,749.75
  4. Step 4: Simplify right side
    154,146.38x = 114,074,893,625.06
  5. Step 5: Solve for x
    x = 114,074,893,625.06/154,146.38
  6. Step 6: Final answer
    x = 740,042.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.