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Finding the Third Proportional to 237,546 and 349,272

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Solution

The third proportional to 237,546 and 349,272 is: 513,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,546 : 349,272 = 349,272 : x
  2. Step 2: Convert to fraction form
    237,546/349,272 = 349,272/x
  3. Step 3: Cross multiply
    237,546x = 349,272 × 349,272
  4. Step 4: Simplify right side
    237,546x = 121,990,929,984
  5. Step 5: Solve for x
    x = 121,990,929,984/237,546
  6. Step 6: Final answer
    x = 513,546.56

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Why These Related Problems?

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