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Finding the Third Proportional to 159,856.03 and 349,766.23

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Solution

The third proportional to 159,856.03 and 349,766.23 is: 765,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856.03 : 349,766.23 = 349,766.23 : x
  2. Step 2: Convert to fraction form
    159,856.03/349,766.23 = 349,766.23/x
  3. Step 3: Cross multiply
    159,856.03x = 349,766.23 × 349,766.23
  4. Step 4: Simplify right side
    159,856.03x = 122,336,413,243.77
  5. Step 5: Solve for x
    x = 122,336,413,243.77/159,856.03
  6. Step 6: Final answer
    x = 765,291.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.