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Finding the Third Proportional to 157,824 and 234,336

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Solution

The third proportional to 157,824 and 234,336 is: 347,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,824 : 234,336 = 234,336 : x
  2. Step 2: Convert to fraction form
    157,824/234,336 = 234,336/x
  3. Step 3: Cross multiply
    157,824x = 234,336 × 234,336
  4. Step 4: Simplify right side
    157,824x = 54,913,360,896
  5. Step 5: Solve for x
    x = 54,913,360,896/157,824
  6. Step 6: Final answer
    x = 347,940.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.