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Finding the Third Proportional to 219,114 and 313,119

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Solution

The third proportional to 219,114 and 313,119 is: 447,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,114 : 313,119 = 313,119 : x
  2. Step 2: Convert to fraction form
    219,114/313,119 = 313,119/x
  3. Step 3: Cross multiply
    219,114x = 313,119 × 313,119
  4. Step 4: Simplify right side
    219,114x = 98,043,508,161
  5. Step 5: Solve for x
    x = 98,043,508,161/219,114
  6. Step 6: Final answer
    x = 447,454.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.