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Finding the Third Proportional to 149,994.75 and 210,957.75

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Solution

The third proportional to 149,994.75 and 210,957.75 is: 296,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,994.75 : 210,957.75 = 210,957.75 : x
  2. Step 2: Convert to fraction form
    149,994.75/210,957.75 = 210,957.75/x
  3. Step 3: Cross multiply
    149,994.75x = 210,957.75 × 210,957.75
  4. Step 4: Simplify right side
    149,994.75x = 44,503,172,285.06
  5. Step 5: Solve for x
    x = 44,503,172,285.06/149,994.75
  6. Step 6: Final answer
    x = 296,698.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.