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Finding the Third Proportional to 166,050 and 355,730

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Solution

The third proportional to 166,050 and 355,730 is: 762,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,050 : 355,730 = 355,730 : x
  2. Step 2: Convert to fraction form
    166,050/355,730 = 355,730/x
  3. Step 3: Cross multiply
    166,050x = 355,730 × 355,730
  4. Step 4: Simplify right side
    166,050x = 126,543,832,900
  5. Step 5: Solve for x
    x = 126,543,832,900/166,050
  6. Step 6: Final answer
    x = 762,082.70

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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.