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Finding the Third Proportional to 237,736.50 and 349,326

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Solution

The third proportional to 237,736.50 and 349,326 is: 513,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,736.50 : 349,326 = 349,326 : x
  2. Step 2: Convert to fraction form
    237,736.50/349,326 = 349,326/x
  3. Step 3: Cross multiply
    237,736.50x = 349,326 × 349,326
  4. Step 4: Simplify right side
    237,736.50x = 122,028,654,276
  5. Step 5: Solve for x
    x = 122,028,654,276/237,736.50
  6. Step 6: Final answer
    x = 513,293.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.