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Finding the Third Proportional to 239,488 and 359,232

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Solution

The third proportional to 239,488 and 359,232 is: 538,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,488 : 359,232 = 359,232 : x
  2. Step 2: Convert to fraction form
    239,488/359,232 = 359,232/x
  3. Step 3: Cross multiply
    239,488x = 359,232 × 359,232
  4. Step 4: Simplify right side
    239,488x = 129,047,629,824
  5. Step 5: Solve for x
    x = 129,047,629,824/239,488
  6. Step 6: Final answer
    x = 538,848

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.