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Finding the Third Proportional to 237,774 and 352,728

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Solution

The third proportional to 237,774 and 352,728 is: 523,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,774 : 352,728 = 352,728 : x
  2. Step 2: Convert to fraction form
    237,774/352,728 = 352,728/x
  3. Step 3: Cross multiply
    237,774x = 352,728 × 352,728
  4. Step 4: Simplify right side
    237,774x = 124,417,041,984
  5. Step 5: Solve for x
    x = 124,417,041,984/237,774
  6. Step 6: Final answer
    x = 523,257.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.