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Finding the Third Proportional to 166,148.16 and 364,463.16

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Solution

The third proportional to 166,148.16 and 364,463.16 is: 799,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,148.16 : 364,463.16 = 364,463.16 : x
  2. Step 2: Convert to fraction form
    166,148.16/364,463.16 = 364,463.16/x
  3. Step 3: Cross multiply
    166,148.16x = 364,463.16 × 364,463.16
  4. Step 4: Simplify right side
    166,148.16x = 132,833,392,263.71
  5. Step 5: Solve for x
    x = 132,833,392,263.71/166,148.16
  6. Step 6: Final answer
    x = 799,487.61

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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.