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Finding the Third Proportional to 185,122 and 399,034

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Solution

The third proportional to 185,122 and 399,034 is: 860,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,122 : 399,034 = 399,034 : x
  2. Step 2: Convert to fraction form
    185,122/399,034 = 399,034/x
  3. Step 3: Cross multiply
    185,122x = 399,034 × 399,034
  4. Step 4: Simplify right side
    185,122x = 159,228,133,156
  5. Step 5: Solve for x
    x = 159,228,133,156/185,122
  6. Step 6: Final answer
    x = 860,125.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.