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Finding the Third Proportional to 212,237.72 and 315,469.69

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Solution

The third proportional to 212,237.72 and 315,469.69 is: 468,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,237.72 : 315,469.69 = 315,469.69 : x
  2. Step 2: Convert to fraction form
    212,237.72/315,469.69 = 315,469.69/x
  3. Step 3: Cross multiply
    212,237.72x = 315,469.69 × 315,469.69
  4. Step 4: Simplify right side
    212,237.72x = 99,521,123,731.35
  5. Step 5: Solve for x
    x = 99,521,123,731.35/212,237.72
  6. Step 6: Final answer
    x = 468,913.46

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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.