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Finding the Third Proportional to 179,468 and 377,527

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Solution

The third proportional to 179,468 and 377,527 is: 794,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,468 : 377,527 = 377,527 : x
  2. Step 2: Convert to fraction form
    179,468/377,527 = 377,527/x
  3. Step 3: Cross multiply
    179,468x = 377,527 × 377,527
  4. Step 4: Simplify right side
    179,468x = 142,526,635,729
  5. Step 5: Solve for x
    x = 142,526,635,729/179,468
  6. Step 6: Final answer
    x = 794,161.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.