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Finding the Third Proportional to 77,293 and 167,804

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Solution

The third proportional to 77,293 and 167,804 is: 364,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,293 : 167,804 = 167,804 : x
  2. Step 2: Convert to fraction form
    77,293/167,804 = 167,804/x
  3. Step 3: Cross multiply
    77,293x = 167,804 × 167,804
  4. Step 4: Simplify right side
    77,293x = 28,158,182,416
  5. Step 5: Solve for x
    x = 28,158,182,416/77,293
  6. Step 6: Final answer
    x = 364,304.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.