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Finding the Third Proportional to 176,944.50 and 382,056.75

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Solution

The third proportional to 176,944.50 and 382,056.75 is: 824,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,944.50 : 382,056.75 = 382,056.75 : x
  2. Step 2: Convert to fraction form
    176,944.50/382,056.75 = 382,056.75/x
  3. Step 3: Cross multiply
    176,944.50x = 382,056.75 × 382,056.75
  4. Step 4: Simplify right side
    176,944.50x = 145,967,360,220.56
  5. Step 5: Solve for x
    x = 145,967,360,220.56/176,944.50
  6. Step 6: Final answer
    x = 824,933.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.