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Finding the Third Proportional to 144,996 and 318,360

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Solution

The third proportional to 144,996 and 318,360 is: 699,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,996 : 318,360 = 318,360 : x
  2. Step 2: Convert to fraction form
    144,996/318,360 = 318,360/x
  3. Step 3: Cross multiply
    144,996x = 318,360 × 318,360
  4. Step 4: Simplify right side
    144,996x = 101,353,089,600
  5. Step 5: Solve for x
    x = 101,353,089,600/144,996
  6. Step 6: Final answer
    x = 699,006.11

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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.