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Finding the Third Proportional to 167,646 and 363,682.50

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Solution

The third proportional to 167,646 and 363,682.50 is: 788,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,646 : 363,682.50 = 363,682.50 : x
  2. Step 2: Convert to fraction form
    167,646/363,682.50 = 363,682.50/x
  3. Step 3: Cross multiply
    167,646x = 363,682.50 × 363,682.50
  4. Step 4: Simplify right side
    167,646x = 132,264,960,806.25
  5. Step 5: Solve for x
    x = 132,264,960,806.25/167,646
  6. Step 6: Final answer
    x = 788,953.87

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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.