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Finding the Third Proportional to 155,814 and 341,112

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Solution

The third proportional to 155,814 and 341,112 is: 746,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,814 : 341,112 = 341,112 : x
  2. Step 2: Convert to fraction form
    155,814/341,112 = 341,112/x
  3. Step 3: Cross multiply
    155,814x = 341,112 × 341,112
  4. Step 4: Simplify right side
    155,814x = 116,357,396,544
  5. Step 5: Solve for x
    x = 116,357,396,544/155,814
  6. Step 6: Final answer
    x = 746,771.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.