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Finding the Third Proportional to 147,474 and 316,827

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Solution

The third proportional to 147,474 and 316,827 is: 680,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,474 : 316,827 = 316,827 : x
  2. Step 2: Convert to fraction form
    147,474/316,827 = 316,827/x
  3. Step 3: Cross multiply
    147,474x = 316,827 × 316,827
  4. Step 4: Simplify right side
    147,474x = 100,379,347,929
  5. Step 5: Solve for x
    x = 100,379,347,929/147,474
  6. Step 6: Final answer
    x = 680,657.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.