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Finding the Third Proportional to 158,224 and 347,560

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Solution

The third proportional to 158,224 and 347,560 is: 763,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,224 : 347,560 = 347,560 : x
  2. Step 2: Convert to fraction form
    158,224/347,560 = 347,560/x
  3. Step 3: Cross multiply
    158,224x = 347,560 × 347,560
  4. Step 4: Simplify right side
    158,224x = 120,797,953,600
  5. Step 5: Solve for x
    x = 120,797,953,600/158,224
  6. Step 6: Final answer
    x = 763,461.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.