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Finding the Third Proportional to 153,859.50 and 347,226.75

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Solution

The third proportional to 153,859.50 and 347,226.75 is: 783,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,859.50 : 347,226.75 = 347,226.75 : x
  2. Step 2: Convert to fraction form
    153,859.50/347,226.75 = 347,226.75/x
  3. Step 3: Cross multiply
    153,859.50x = 347,226.75 × 347,226.75
  4. Step 4: Simplify right side
    153,859.50x = 120,566,415,915.56
  5. Step 5: Solve for x
    x = 120,566,415,915.56/153,859.50
  6. Step 6: Final answer
    x = 783,613.72

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.