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Finding the Third Proportional to 153,226.69 and 324,883.41

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Solution

The third proportional to 153,226.69 and 324,883.41 is: 688,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,226.69 : 324,883.41 = 324,883.41 : x
  2. Step 2: Convert to fraction form
    153,226.69/324,883.41 = 324,883.41/x
  3. Step 3: Cross multiply
    153,226.69x = 324,883.41 × 324,883.41
  4. Step 4: Simplify right side
    153,226.69x = 105,549,227,656.60
  5. Step 5: Solve for x
    x = 105,549,227,656.60/153,226.69
  6. Step 6: Final answer
    x = 688,843.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.