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Finding the Third Proportional to 155,231 and 237,301

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Solution

The third proportional to 155,231 and 237,301 is: 362,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,231 : 237,301 = 237,301 : x
  2. Step 2: Convert to fraction form
    155,231/237,301 = 237,301/x
  3. Step 3: Cross multiply
    155,231x = 237,301 × 237,301
  4. Step 4: Simplify right side
    155,231x = 56,311,764,601
  5. Step 5: Solve for x
    x = 56,311,764,601/155,231
  6. Step 6: Final answer
    x = 362,761.08

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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.