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Finding the Third Proportional to 143,738 and 312,644

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Solution

The third proportional to 143,738 and 312,644 is: 680,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,738 : 312,644 = 312,644 : x
  2. Step 2: Convert to fraction form
    143,738/312,644 = 312,644/x
  3. Step 3: Cross multiply
    143,738x = 312,644 × 312,644
  4. Step 4: Simplify right side
    143,738x = 97,746,270,736
  5. Step 5: Solve for x
    x = 97,746,270,736/143,738
  6. Step 6: Final answer
    x = 680,030.83

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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.