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Finding the Third Proportional to 144,914.06 and 318,729.94

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Solution

The third proportional to 144,914.06 and 318,729.94 is: 701,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,914.06 : 318,729.94 = 318,729.94 : x
  2. Step 2: Convert to fraction form
    144,914.06/318,729.94 = 318,729.94/x
  3. Step 3: Cross multiply
    144,914.06x = 318,729.94 × 318,729.94
  4. Step 4: Simplify right side
    144,914.06x = 101,588,773,058.75
  5. Step 5: Solve for x
    x = 101,588,773,058.75/144,914.06
  6. Step 6: Final answer
    x = 701,027.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.