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Finding the Third Proportional to 231,062.63 and 349,737.75

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Solution

The third proportional to 231,062.63 and 349,737.75 is: 529,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,062.63 : 349,737.75 = 349,737.75 : x
  2. Step 2: Convert to fraction form
    231,062.63/349,737.75 = 349,737.75/x
  3. Step 3: Cross multiply
    231,062.63x = 349,737.75 × 349,737.75
  4. Step 4: Simplify right side
    231,062.63x = 122,316,493,775.06
  5. Step 5: Solve for x
    x = 122,316,493,775.06/231,062.63
  6. Step 6: Final answer
    x = 529,365.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.