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Finding the Third Proportional to 143,682.75 and 312,237

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Solution

The third proportional to 143,682.75 and 312,237 is: 678,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,682.75 : 312,237 = 312,237 : x
  2. Step 2: Convert to fraction form
    143,682.75/312,237 = 312,237/x
  3. Step 3: Cross multiply
    143,682.75x = 312,237 × 312,237
  4. Step 4: Simplify right side
    143,682.75x = 97,491,944,169
  5. Step 5: Solve for x
    x = 97,491,944,169/143,682.75
  6. Step 6: Final answer
    x = 678,522.26

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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.