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Finding the Third Proportional to 177,560 and 377,152

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Solution

The third proportional to 177,560 and 377,152 is: 801,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,560 : 377,152 = 377,152 : x
  2. Step 2: Convert to fraction form
    177,560/377,152 = 377,152/x
  3. Step 3: Cross multiply
    177,560x = 377,152 × 377,152
  4. Step 4: Simplify right side
    177,560x = 142,243,631,104
  5. Step 5: Solve for x
    x = 142,243,631,104/177,560
  6. Step 6: Final answer
    x = 801,101.77

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Why These Related Problems?

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