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Finding the Third Proportional to 177,327 and 243,844.50

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Solution

The third proportional to 177,327 and 243,844.50 is: 335,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,327 : 243,844.50 = 243,844.50 : x
  2. Step 2: Convert to fraction form
    177,327/243,844.50 = 243,844.50/x
  3. Step 3: Cross multiply
    177,327x = 243,844.50 × 243,844.50
  4. Step 4: Simplify right side
    177,327x = 59,460,140,180.25
  5. Step 5: Solve for x
    x = 59,460,140,180.25/177,327
  6. Step 6: Final answer
    x = 335,313.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.