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Finding the Third Proportional to 135,891 and 224,594

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Solution

The third proportional to 135,891 and 224,594 is: 371,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,891 : 224,594 = 224,594 : x
  2. Step 2: Convert to fraction form
    135,891/224,594 = 224,594/x
  3. Step 3: Cross multiply
    135,891x = 224,594 × 224,594
  4. Step 4: Simplify right side
    135,891x = 50,442,464,836
  5. Step 5: Solve for x
    x = 50,442,464,836/135,891
  6. Step 6: Final answer
    x = 371,197.98

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.