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Finding the Third Proportional to 231,356.25 and 349,950.38

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Solution

The third proportional to 231,356.25 and 349,950.38 is: 529,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,356.25 : 349,950.38 = 349,950.38 : x
  2. Step 2: Convert to fraction form
    231,356.25/349,950.38 = 349,950.38/x
  3. Step 3: Cross multiply
    231,356.25x = 349,950.38 × 349,950.38
  4. Step 4: Simplify right side
    231,356.25x = 122,465,264,962.64
  5. Step 5: Solve for x
    x = 122,465,264,962.64/231,356.25
  6. Step 6: Final answer
    x = 529,336.32

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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.