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Finding the Third Proportional to 210,385.50 and 295,922.25

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Solution

The third proportional to 210,385.50 and 295,922.25 is: 416,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,385.50 : 295,922.25 = 295,922.25 : x
  2. Step 2: Convert to fraction form
    210,385.50/295,922.25 = 295,922.25/x
  3. Step 3: Cross multiply
    210,385.50x = 295,922.25 × 295,922.25
  4. Step 4: Simplify right side
    210,385.50x = 87,569,978,045.06
  5. Step 5: Solve for x
    x = 87,569,978,045.06/210,385.50
  6. Step 6: Final answer
    x = 416,235.81

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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.