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Finding the Third Proportional to 149,829.75 and 210,764.25

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Solution

The third proportional to 149,829.75 and 210,764.25 is: 296,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,829.75 : 210,764.25 = 210,764.25 : x
  2. Step 2: Convert to fraction form
    149,829.75/210,764.25 = 210,764.25/x
  3. Step 3: Cross multiply
    149,829.75x = 210,764.25 × 210,764.25
  4. Step 4: Simplify right side
    149,829.75x = 44,421,569,078.06
  5. Step 5: Solve for x
    x = 44,421,569,078.06/149,829.75
  6. Step 6: Final answer
    x = 296,480.30

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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.