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Finding the Third Proportional to 144,145.50 and 219,772

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Solution

The third proportional to 144,145.50 and 219,772 is: 335,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,145.50 : 219,772 = 219,772 : x
  2. Step 2: Convert to fraction form
    144,145.50/219,772 = 219,772/x
  3. Step 3: Cross multiply
    144,145.50x = 219,772 × 219,772
  4. Step 4: Simplify right side
    144,145.50x = 48,299,731,984
  5. Step 5: Solve for x
    x = 48,299,731,984/144,145.50
  6. Step 6: Final answer
    x = 335,076.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.