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Finding the Third Proportional to 233,958 and 349,375.50

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Solution

The third proportional to 233,958 and 349,375.50 is: 521,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,958 : 349,375.50 = 349,375.50 : x
  2. Step 2: Convert to fraction form
    233,958/349,375.50 = 349,375.50/x
  3. Step 3: Cross multiply
    233,958x = 349,375.50 × 349,375.50
  4. Step 4: Simplify right side
    233,958x = 122,063,240,000.25
  5. Step 5: Solve for x
    x = 122,063,240,000.25/233,958
  6. Step 6: Final answer
    x = 521,731.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.