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Finding the Third Proportional to 145,760 and 219,660

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Solution

The third proportional to 145,760 and 219,660 is: 331,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,760 : 219,660 = 219,660 : x
  2. Step 2: Convert to fraction form
    145,760/219,660 = 219,660/x
  3. Step 3: Cross multiply
    145,760x = 219,660 × 219,660
  4. Step 4: Simplify right side
    145,760x = 48,250,515,600
  5. Step 5: Solve for x
    x = 48,250,515,600/145,760
  6. Step 6: Final answer
    x = 331,027.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.