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Finding the Third Proportional to 144,504 and 315,144

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Solution

The third proportional to 144,504 and 315,144 is: 687,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,504 : 315,144 = 315,144 : x
  2. Step 2: Convert to fraction form
    144,504/315,144 = 315,144/x
  3. Step 3: Cross multiply
    144,504x = 315,144 × 315,144
  4. Step 4: Simplify right side
    144,504x = 99,315,740,736
  5. Step 5: Solve for x
    x = 99,315,740,736/144,504
  6. Step 6: Final answer
    x = 687,287.14

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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.