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Finding the Third Proportional to 153,004.57 and 208,593.67

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Solution

The third proportional to 153,004.57 and 208,593.67 is: 284,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,004.57 : 208,593.67 = 208,593.67 : x
  2. Step 2: Convert to fraction form
    153,004.57/208,593.67 = 208,593.67/x
  3. Step 3: Cross multiply
    153,004.57x = 208,593.67 × 208,593.67
  4. Step 4: Simplify right side
    153,004.57x = 43,511,318,316.66
  5. Step 5: Solve for x
    x = 43,511,318,316.66/153,004.57
  6. Step 6: Final answer
    x = 284,379.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.