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Finding the Third Proportional to 242,175.75 and 332,442.75

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Solution

The third proportional to 242,175.75 and 332,442.75 is: 456,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,175.75 : 332,442.75 = 332,442.75 : x
  2. Step 2: Convert to fraction form
    242,175.75/332,442.75 = 332,442.75/x
  3. Step 3: Cross multiply
    242,175.75x = 332,442.75 × 332,442.75
  4. Step 4: Simplify right side
    242,175.75x = 110,518,182,027.56
  5. Step 5: Solve for x
    x = 110,518,182,027.56/242,175.75
  6. Step 6: Final answer
    x = 456,355.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.