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Finding the Third Proportional to 159,873 and 234,625.50

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Solution

The third proportional to 159,873 and 234,625.50 is: 344,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,873 : 234,625.50 = 234,625.50 : x
  2. Step 2: Convert to fraction form
    159,873/234,625.50 = 234,625.50/x
  3. Step 3: Cross multiply
    159,873x = 234,625.50 × 234,625.50
  4. Step 4: Simplify right side
    159,873x = 55,049,125,250.25
  5. Step 5: Solve for x
    x = 55,049,125,250.25/159,873
  6. Step 6: Final answer
    x = 344,330.35

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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.