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Finding the Third Proportional to 185,434 and 405,860

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Solution

The third proportional to 185,434 and 405,860 is: 888,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,434 : 405,860 = 405,860 : x
  2. Step 2: Convert to fraction form
    185,434/405,860 = 405,860/x
  3. Step 3: Cross multiply
    185,434x = 405,860 × 405,860
  4. Step 4: Simplify right side
    185,434x = 164,722,339,600
  5. Step 5: Solve for x
    x = 164,722,339,600/185,434
  6. Step 6: Final answer
    x = 888,307.10

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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.