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Finding the Third Proportional to 133,414 and 294,832

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Solution

The third proportional to 133,414 and 294,832 is: 651,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,414 : 294,832 = 294,832 : x
  2. Step 2: Convert to fraction form
    133,414/294,832 = 294,832/x
  3. Step 3: Cross multiply
    133,414x = 294,832 × 294,832
  4. Step 4: Simplify right side
    133,414x = 86,925,908,224
  5. Step 5: Solve for x
    x = 86,925,908,224/133,414
  6. Step 6: Final answer
    x = 651,550.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.