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Finding the Third Proportional to 155,138 and 237,219

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Solution

The third proportional to 155,138 and 237,219 is: 362,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,138 : 237,219 = 237,219 : x
  2. Step 2: Convert to fraction form
    155,138/237,219 = 237,219/x
  3. Step 3: Cross multiply
    155,138x = 237,219 × 237,219
  4. Step 4: Simplify right side
    155,138x = 56,272,853,961
  5. Step 5: Solve for x
    x = 56,272,853,961/155,138
  6. Step 6: Final answer
    x = 362,727.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.