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Finding the Third Proportional to 144,644 and 314,168

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Solution

The third proportional to 144,644 and 314,168 is: 682,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,644 : 314,168 = 314,168 : x
  2. Step 2: Convert to fraction form
    144,644/314,168 = 314,168/x
  3. Step 3: Cross multiply
    144,644x = 314,168 × 314,168
  4. Step 4: Simplify right side
    144,644x = 98,701,532,224
  5. Step 5: Solve for x
    x = 98,701,532,224/144,644
  6. Step 6: Final answer
    x = 682,375.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.