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Finding the Third Proportional to 166,740 and 364,776

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Solution

The third proportional to 166,740 and 364,776 is: 798,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,740 : 364,776 = 364,776 : x
  2. Step 2: Convert to fraction form
    166,740/364,776 = 364,776/x
  3. Step 3: Cross multiply
    166,740x = 364,776 × 364,776
  4. Step 4: Simplify right side
    166,740x = 133,061,530,176
  5. Step 5: Solve for x
    x = 133,061,530,176/166,740
  6. Step 6: Final answer
    x = 798,018.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.