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Finding the Third Proportional to 150,704 and 232,984

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Solution

The third proportional to 150,704 and 232,984 is: 360,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,704 : 232,984 = 232,984 : x
  2. Step 2: Convert to fraction form
    150,704/232,984 = 232,984/x
  3. Step 3: Cross multiply
    150,704x = 232,984 × 232,984
  4. Step 4: Simplify right side
    150,704x = 54,281,544,256
  5. Step 5: Solve for x
    x = 54,281,544,256/150,704
  6. Step 6: Final answer
    x = 360,186.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.