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Finding the Third Proportional to 187,324 and 287,244

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Solution

The third proportional to 187,324 and 287,244 is: 440,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,324 : 287,244 = 287,244 : x
  2. Step 2: Convert to fraction form
    187,324/287,244 = 287,244/x
  3. Step 3: Cross multiply
    187,324x = 287,244 × 287,244
  4. Step 4: Simplify right side
    187,324x = 82,509,115,536
  5. Step 5: Solve for x
    x = 82,509,115,536/187,324
  6. Step 6: Final answer
    x = 440,462.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.