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Finding the Third Proportional to 185,254 and 287,034

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Solution

The third proportional to 185,254 and 287,034 is: 444,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,254 : 287,034 = 287,034 : x
  2. Step 2: Convert to fraction form
    185,254/287,034 = 287,034/x
  3. Step 3: Cross multiply
    185,254x = 287,034 × 287,034
  4. Step 4: Simplify right side
    185,254x = 82,388,517,156
  5. Step 5: Solve for x
    x = 82,388,517,156/185,254
  6. Step 6: Final answer
    x = 444,732.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.