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Finding the Third Proportional to 159,027.50 and 337,015

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Solution

The third proportional to 159,027.50 and 337,015 is: 714,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,027.50 : 337,015 = 337,015 : x
  2. Step 2: Convert to fraction form
    159,027.50/337,015 = 337,015/x
  3. Step 3: Cross multiply
    159,027.50x = 337,015 × 337,015
  4. Step 4: Simplify right side
    159,027.50x = 113,579,110,225
  5. Step 5: Solve for x
    x = 113,579,110,225/159,027.50
  6. Step 6: Final answer
    x = 714,210.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.