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Finding the Third Proportional to 159,692 and 348,556

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Solution

The third proportional to 159,692 and 348,556 is: 760,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,692 : 348,556 = 348,556 : x
  2. Step 2: Convert to fraction form
    159,692/348,556 = 348,556/x
  3. Step 3: Cross multiply
    159,692x = 348,556 × 348,556
  4. Step 4: Simplify right side
    159,692x = 121,491,285,136
  5. Step 5: Solve for x
    x = 121,491,285,136/159,692
  6. Step 6: Final answer
    x = 760,785.04

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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.