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Finding the Third Proportional to 166,052.53 and 355,726.69

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Solution

The third proportional to 166,052.53 and 355,726.69 is: 762,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,052.53 : 355,726.69 = 355,726.69 : x
  2. Step 2: Convert to fraction form
    166,052.53/355,726.69 = 355,726.69/x
  3. Step 3: Cross multiply
    166,052.53x = 355,726.69 × 355,726.69
  4. Step 4: Simplify right side
    166,052.53x = 126,541,476,199.72
  5. Step 5: Solve for x
    x = 126,541,476,199.72/166,052.53
  6. Step 6: Final answer
    x = 762,056.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.