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Finding the Third Proportional to 133,416 and 294,836

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Solution

The third proportional to 133,416 and 294,836 is: 651,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,416 : 294,836 = 294,836 : x
  2. Step 2: Convert to fraction form
    133,416/294,836 = 294,836/x
  3. Step 3: Cross multiply
    133,416x = 294,836 × 294,836
  4. Step 4: Simplify right side
    133,416x = 86,928,266,896
  5. Step 5: Solve for x
    x = 86,928,266,896/133,416
  6. Step 6: Final answer
    x = 651,558.04

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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.