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Finding the Third Proportional to 143,794 and 312,686

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Solution

The third proportional to 143,794 and 312,686 is: 679,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,794 : 312,686 = 312,686 : x
  2. Step 2: Convert to fraction form
    143,794/312,686 = 312,686/x
  3. Step 3: Cross multiply
    143,794x = 312,686 × 312,686
  4. Step 4: Simplify right side
    143,794x = 97,772,534,596
  5. Step 5: Solve for x
    x = 97,772,534,596/143,794
  6. Step 6: Final answer
    x = 679,948.64

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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.