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Finding the Third Proportional to 155,919 and 330,241.50

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Solution

The third proportional to 155,919 and 330,241.50 is: 699,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,919 : 330,241.50 = 330,241.50 : x
  2. Step 2: Convert to fraction form
    155,919/330,241.50 = 330,241.50/x
  3. Step 3: Cross multiply
    155,919x = 330,241.50 × 330,241.50
  4. Step 4: Simplify right side
    155,919x = 109,059,448,322.25
  5. Step 5: Solve for x
    x = 109,059,448,322.25/155,919
  6. Step 6: Final answer
    x = 699,462.21

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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.