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Finding the Third Proportional to 166,559 and 237,383

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Solution

The third proportional to 166,559 and 237,383 is: 338,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,559 : 237,383 = 237,383 : x
  2. Step 2: Convert to fraction form
    166,559/237,383 = 237,383/x
  3. Step 3: Cross multiply
    166,559x = 237,383 × 237,383
  4. Step 4: Simplify right side
    166,559x = 56,350,688,689
  5. Step 5: Solve for x
    x = 56,350,688,689/166,559
  6. Step 6: Final answer
    x = 338,322.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.