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Finding the Third Proportional to 187,099 and 288,029

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Solution

The third proportional to 187,099 and 288,029 is: 443,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,099 : 288,029 = 288,029 : x
  2. Step 2: Convert to fraction form
    187,099/288,029 = 288,029/x
  3. Step 3: Cross multiply
    187,099x = 288,029 × 288,029
  4. Step 4: Simplify right side
    187,099x = 82,960,704,841
  5. Step 5: Solve for x
    x = 82,960,704,841/187,099
  6. Step 6: Final answer
    x = 443,405.39

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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.