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Finding the Third Proportional to 135,887 and 224,588

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Solution

The third proportional to 135,887 and 224,588 is: 371,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,887 : 224,588 = 224,588 : x
  2. Step 2: Convert to fraction form
    135,887/224,588 = 224,588/x
  3. Step 3: Cross multiply
    135,887x = 224,588 × 224,588
  4. Step 4: Simplify right side
    135,887x = 50,439,769,744
  5. Step 5: Solve for x
    x = 50,439,769,744/135,887
  6. Step 6: Final answer
    x = 371,189.07

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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.