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Finding the Third Proportional to 187,093 and 287,559

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Solution

The third proportional to 187,093 and 287,559 is: 441,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,093 : 287,559 = 287,559 : x
  2. Step 2: Convert to fraction form
    187,093/287,559 = 287,559/x
  3. Step 3: Cross multiply
    187,093x = 287,559 × 287,559
  4. Step 4: Simplify right side
    187,093x = 82,690,178,481
  5. Step 5: Solve for x
    x = 82,690,178,481/187,093
  6. Step 6: Final answer
    x = 441,973.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.