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Finding the Third Proportional to 143,744 and 312,352

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Solution

The third proportional to 143,744 and 312,352 is: 678,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,744 : 312,352 = 312,352 : x
  2. Step 2: Convert to fraction form
    143,744/312,352 = 312,352/x
  3. Step 3: Cross multiply
    143,744x = 312,352 × 312,352
  4. Step 4: Simplify right side
    143,744x = 97,563,771,904
  5. Step 5: Solve for x
    x = 97,563,771,904/143,744
  6. Step 6: Final answer
    x = 678,732.83

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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.