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Finding the Third Proportional to 143,878 and 316,314

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Solution

The third proportional to 143,878 and 316,314 is: 695,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,878 : 316,314 = 316,314 : x
  2. Step 2: Convert to fraction form
    143,878/316,314 = 316,314/x
  3. Step 3: Cross multiply
    143,878x = 316,314 × 316,314
  4. Step 4: Simplify right side
    143,878x = 100,054,546,596
  5. Step 5: Solve for x
    x = 100,054,546,596/143,878
  6. Step 6: Final answer
    x = 695,412.41

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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.