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Finding the Third Proportional to 171,754 and 237,326

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Solution

The third proportional to 171,754 and 237,326 is: 327,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,754 : 237,326 = 237,326 : x
  2. Step 2: Convert to fraction form
    171,754/237,326 = 237,326/x
  3. Step 3: Cross multiply
    171,754x = 237,326 × 237,326
  4. Step 4: Simplify right side
    171,754x = 56,323,630,276
  5. Step 5: Solve for x
    x = 56,323,630,276/171,754
  6. Step 6: Final answer
    x = 327,931.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.