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Finding the Third Proportional to 166,714.50 and 364,047

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Solution

The third proportional to 166,714.50 and 364,047 is: 794,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,714.50 : 364,047 = 364,047 : x
  2. Step 2: Convert to fraction form
    166,714.50/364,047 = 364,047/x
  3. Step 3: Cross multiply
    166,714.50x = 364,047 × 364,047
  4. Step 4: Simplify right side
    166,714.50x = 132,530,218,209
  5. Step 5: Solve for x
    x = 132,530,218,209/166,714.50
  6. Step 6: Final answer
    x = 794,953.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.