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Finding the Third Proportional to 145,202.63 and 219,989.25

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Solution

The third proportional to 145,202.63 and 219,989.25 is: 333,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.63 : 219,989.25 = 219,989.25 : x
  2. Step 2: Convert to fraction form
    145,202.63/219,989.25 = 219,989.25/x
  3. Step 3: Cross multiply
    145,202.63x = 219,989.25 × 219,989.25
  4. Step 4: Simplify right side
    145,202.63x = 48,395,270,115.56
  5. Step 5: Solve for x
    x = 48,395,270,115.56/145,202.63
  6. Step 6: Final answer
    x = 333,294.73

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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.