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Finding the Third Proportional to 145,202 and 219,994

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Solution

The third proportional to 145,202 and 219,994 is: 333,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202 : 219,994 = 219,994 : x
  2. Step 2: Convert to fraction form
    145,202/219,994 = 219,994/x
  3. Step 3: Cross multiply
    145,202x = 219,994 × 219,994
  4. Step 4: Simplify right side
    145,202x = 48,397,360,036
  5. Step 5: Solve for x
    x = 48,397,360,036/145,202
  6. Step 6: Final answer
    x = 333,310.56

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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.