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Finding the Third Proportional to 237,966 and 364,486

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Solution

The third proportional to 237,966 and 364,486 is: 558,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,966 : 364,486 = 364,486 : x
  2. Step 2: Convert to fraction form
    237,966/364,486 = 364,486/x
  3. Step 3: Cross multiply
    237,966x = 364,486 × 364,486
  4. Step 4: Simplify right side
    237,966x = 132,850,044,196
  5. Step 5: Solve for x
    x = 132,850,044,196/237,966
  6. Step 6: Final answer
    x = 558,273.22

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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.