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Finding the Third Proportional to 183,042 and 375,006

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Solution

The third proportional to 183,042 and 375,006 is: 768,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,042 : 375,006 = 375,006 : x
  2. Step 2: Convert to fraction form
    183,042/375,006 = 375,006/x
  3. Step 3: Cross multiply
    183,042x = 375,006 × 375,006
  4. Step 4: Simplify right side
    183,042x = 140,629,500,036
  5. Step 5: Solve for x
    x = 140,629,500,036/183,042
  6. Step 6: Final answer
    x = 768,290.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.