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Finding the Third Proportional to 133,600 and 316,504

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Solution

The third proportional to 133,600 and 316,504 is: 749,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,600 : 316,504 = 316,504 : x
  2. Step 2: Convert to fraction form
    133,600/316,504 = 316,504/x
  3. Step 3: Cross multiply
    133,600x = 316,504 × 316,504
  4. Step 4: Simplify right side
    133,600x = 100,174,782,016
  5. Step 5: Solve for x
    x = 100,174,782,016/133,600
  6. Step 6: Final answer
    x = 749,811.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.