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Finding the Third Proportional to 160,824 and 236,558

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Solution

The third proportional to 160,824 and 236,558 is: 347,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,824 : 236,558 = 236,558 : x
  2. Step 2: Convert to fraction form
    160,824/236,558 = 236,558/x
  3. Step 3: Cross multiply
    160,824x = 236,558 × 236,558
  4. Step 4: Simplify right side
    160,824x = 55,959,687,364
  5. Step 5: Solve for x
    x = 55,959,687,364/160,824
  6. Step 6: Final answer
    x = 347,956.07

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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.