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Finding the Third Proportional to 127,970 and 279,232

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Solution

The third proportional to 127,970 and 279,232 is: 609,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970 : 279,232 = 279,232 : x
  2. Step 2: Convert to fraction form
    127,970/279,232 = 279,232/x
  3. Step 3: Cross multiply
    127,970x = 279,232 × 279,232
  4. Step 4: Simplify right side
    127,970x = 77,970,509,824
  5. Step 5: Solve for x
    x = 77,970,509,824/127,970
  6. Step 6: Final answer
    x = 609,287.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.