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Finding the Third Proportional to 237,257 and 362,933

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Solution

The third proportional to 237,257 and 362,933 is: 555,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,257 : 362,933 = 362,933 : x
  2. Step 2: Convert to fraction form
    237,257/362,933 = 362,933/x
  3. Step 3: Cross multiply
    237,257x = 362,933 × 362,933
  4. Step 4: Simplify right side
    237,257x = 131,720,362,489
  5. Step 5: Solve for x
    x = 131,720,362,489/237,257
  6. Step 6: Final answer
    x = 555,180.09

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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.