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Finding the Third Proportional to 144,430 and 315,104

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Solution

The third proportional to 144,430 and 315,104 is: 687,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,430 : 315,104 = 315,104 : x
  2. Step 2: Convert to fraction form
    144,430/315,104 = 315,104/x
  3. Step 3: Cross multiply
    144,430x = 315,104 × 315,104
  4. Step 4: Simplify right side
    144,430x = 99,290,530,816
  5. Step 5: Solve for x
    x = 99,290,530,816/144,430
  6. Step 6: Final answer
    x = 687,464.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.