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Finding the Third Proportional to 143,110 and 310,823

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Solution

The third proportional to 143,110 and 310,823 is: 675,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,110 : 310,823 = 310,823 : x
  2. Step 2: Convert to fraction form
    143,110/310,823 = 310,823/x
  3. Step 3: Cross multiply
    143,110x = 310,823 × 310,823
  4. Step 4: Simplify right side
    143,110x = 96,610,937,329
  5. Step 5: Solve for x
    x = 96,610,937,329/143,110
  6. Step 6: Final answer
    x = 675,081.67

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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.