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Finding the Third Proportional to 195,223.50 and 295,297.50

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Solution

The third proportional to 195,223.50 and 295,297.50 is: 446,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,223.50 : 295,297.50 = 295,297.50 : x
  2. Step 2: Convert to fraction form
    195,223.50/295,297.50 = 295,297.50/x
  3. Step 3: Cross multiply
    195,223.50x = 295,297.50 × 295,297.50
  4. Step 4: Simplify right side
    195,223.50x = 87,200,613,506.25
  5. Step 5: Solve for x
    x = 87,200,613,506.25/195,223.50
  6. Step 6: Final answer
    x = 446,670.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.