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Finding the Third Proportional to 153,944 and 237,234

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Solution

The third proportional to 153,944 and 237,234 is: 365,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,944 : 237,234 = 237,234 : x
  2. Step 2: Convert to fraction form
    153,944/237,234 = 237,234/x
  3. Step 3: Cross multiply
    153,944x = 237,234 × 237,234
  4. Step 4: Simplify right side
    153,944x = 56,279,970,756
  5. Step 5: Solve for x
    x = 56,279,970,756/153,944
  6. Step 6: Final answer
    x = 365,587.30

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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.