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Finding the Third Proportional to 177,552 and 377,136

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Solution

The third proportional to 177,552 and 377,136 is: 801,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,552 : 377,136 = 377,136 : x
  2. Step 2: Convert to fraction form
    177,552/377,136 = 377,136/x
  3. Step 3: Cross multiply
    177,552x = 377,136 × 377,136
  4. Step 4: Simplify right side
    177,552x = 142,231,562,496
  5. Step 5: Solve for x
    x = 142,231,562,496/177,552
  6. Step 6: Final answer
    x = 801,069.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.