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Finding the Third Proportional to 177,804 and 419,700

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Solution

The third proportional to 177,804 and 419,700 is: 990,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,804 : 419,700 = 419,700 : x
  2. Step 2: Convert to fraction form
    177,804/419,700 = 419,700/x
  3. Step 3: Cross multiply
    177,804x = 419,700 × 419,700
  4. Step 4: Simplify right side
    177,804x = 176,148,090,000
  5. Step 5: Solve for x
    x = 176,148,090,000/177,804
  6. Step 6: Final answer
    x = 990,686.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.