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Finding the Third Proportional to 237,907.50 and 350,289

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Solution

The third proportional to 237,907.50 and 350,289 is: 515,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,907.50 : 350,289 = 350,289 : x
  2. Step 2: Convert to fraction form
    237,907.50/350,289 = 350,289/x
  3. Step 3: Cross multiply
    237,907.50x = 350,289 × 350,289
  4. Step 4: Simplify right side
    237,907.50x = 122,702,383,521
  5. Step 5: Solve for x
    x = 122,702,383,521/237,907.50
  6. Step 6: Final answer
    x = 515,756.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.