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Finding the Third Proportional to 231,437.25 and 349,626.38

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Solution

The third proportional to 231,437.25 and 349,626.38 is: 528,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,437.25 : 349,626.38 = 349,626.38 : x
  2. Step 2: Convert to fraction form
    231,437.25/349,626.38 = 349,626.38/x
  3. Step 3: Cross multiply
    231,437.25x = 349,626.38 × 349,626.38
  4. Step 4: Simplify right side
    231,437.25x = 122,238,602,095.64
  5. Step 5: Solve for x
    x = 122,238,602,095.64/231,437.25
  6. Step 6: Final answer
    x = 528,171.68

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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.