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Finding the Third Proportional to 206,677.69 and 292,530.38

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Solution

The third proportional to 206,677.69 and 292,530.38 is: 414,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,677.69 : 292,530.38 = 292,530.38 : x
  2. Step 2: Convert to fraction form
    206,677.69/292,530.38 = 292,530.38/x
  3. Step 3: Cross multiply
    206,677.69x = 292,530.38 × 292,530.38
  4. Step 4: Simplify right side
    206,677.69x = 85,574,020,297.64
  5. Step 5: Solve for x
    x = 85,574,020,297.64/206,677.69
  6. Step 6: Final answer
    x = 414,045.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.