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Finding the Third Proportional to 144,749 and 318,946

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Solution

The third proportional to 144,749 and 318,946 is: 702,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,749 : 318,946 = 318,946 : x
  2. Step 2: Convert to fraction form
    144,749/318,946 = 318,946/x
  3. Step 3: Cross multiply
    144,749x = 318,946 × 318,946
  4. Step 4: Simplify right side
    144,749x = 101,726,550,916
  5. Step 5: Solve for x
    x = 101,726,550,916/144,749
  6. Step 6: Final answer
    x = 702,778.95

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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.