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Finding the Third Proportional to 144,906 and 313,926

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Solution

The third proportional to 144,906 and 313,926 is: 680,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906 : 313,926 = 313,926 : x
  2. Step 2: Convert to fraction form
    144,906/313,926 = 313,926/x
  3. Step 3: Cross multiply
    144,906x = 313,926 × 313,926
  4. Step 4: Simplify right side
    144,906x = 98,549,533,476
  5. Step 5: Solve for x
    x = 98,549,533,476/144,906
  6. Step 6: Final answer
    x = 680,092.84

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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.