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Finding the Third Proportional to 135,988 and 224,738

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Solution

The third proportional to 135,988 and 224,738 is: 371,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,988 : 224,738 = 224,738 : x
  2. Step 2: Convert to fraction form
    135,988/224,738 = 224,738/x
  3. Step 3: Cross multiply
    135,988x = 224,738 × 224,738
  4. Step 4: Simplify right side
    135,988x = 50,507,168,644
  5. Step 5: Solve for x
    x = 50,507,168,644/135,988
  6. Step 6: Final answer
    x = 371,409.01

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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.