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Finding the Third Proportional to 166,284.56 and 376,957.13

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Solution

The third proportional to 166,284.56 and 376,957.13 is: 854,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,284.56 : 376,957.13 = 376,957.13 : x
  2. Step 2: Convert to fraction form
    166,284.56/376,957.13 = 376,957.13/x
  3. Step 3: Cross multiply
    166,284.56x = 376,957.13 × 376,957.13
  4. Step 4: Simplify right side
    166,284.56x = 142,096,674,088.27
  5. Step 5: Solve for x
    x = 142,096,674,088.27/166,284.56
  6. Step 6: Final answer
    x = 854,539.18

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.