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Finding the Third Proportional to 254,229.75 and 348,603.75

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Solution

The third proportional to 254,229.75 and 348,603.75 is: 478,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,229.75 : 348,603.75 = 348,603.75 : x
  2. Step 2: Convert to fraction form
    254,229.75/348,603.75 = 348,603.75/x
  3. Step 3: Cross multiply
    254,229.75x = 348,603.75 × 348,603.75
  4. Step 4: Simplify right side
    254,229.75x = 121,524,574,514.06
  5. Step 5: Solve for x
    x = 121,524,574,514.06/254,229.75
  6. Step 6: Final answer
    x = 478,010.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.