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Finding the Third Proportional to 77,634 and 168,216

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Solution

The third proportional to 77,634 and 168,216 is: 364,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,634 : 168,216 = 168,216 : x
  2. Step 2: Convert to fraction form
    77,634/168,216 = 168,216/x
  3. Step 3: Cross multiply
    77,634x = 168,216 × 168,216
  4. Step 4: Simplify right side
    77,634x = 28,296,622,656
  5. Step 5: Solve for x
    x = 28,296,622,656/77,634
  6. Step 6: Final answer
    x = 364,487.50

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Why These Related Problems?

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