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Finding the Third Proportional to 141,138 and 219,483

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Solution

The third proportional to 141,138 and 219,483 is: 341,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138 : 219,483 = 219,483 : x
  2. Step 2: Convert to fraction form
    141,138/219,483 = 219,483/x
  3. Step 3: Cross multiply
    141,138x = 219,483 × 219,483
  4. Step 4: Simplify right side
    141,138x = 48,172,787,289
  5. Step 5: Solve for x
    x = 48,172,787,289/141,138
  6. Step 6: Final answer
    x = 341,316.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.