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Finding the Third Proportional to 72,284.06 and 156,634.88

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Solution

The third proportional to 72,284.06 and 156,634.88 is: 339,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,284.06 : 156,634.88 = 156,634.88 : x
  2. Step 2: Convert to fraction form
    72,284.06/156,634.88 = 156,634.88/x
  3. Step 3: Cross multiply
    72,284.06x = 156,634.88 × 156,634.88
  4. Step 4: Simplify right side
    72,284.06x = 24,534,484,066.27
  5. Step 5: Solve for x
    x = 24,534,484,066.27/72,284.06
  6. Step 6: Final answer
    x = 339,417.61

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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.