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Finding the Third Proportional to 133,723 and 293,798

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Solution

The third proportional to 133,723 and 293,798 is: 645,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,723 : 293,798 = 293,798 : x
  2. Step 2: Convert to fraction form
    133,723/293,798 = 293,798/x
  3. Step 3: Cross multiply
    133,723x = 293,798 × 293,798
  4. Step 4: Simplify right side
    133,723x = 86,317,264,804
  5. Step 5: Solve for x
    x = 86,317,264,804/133,723
  6. Step 6: Final answer
    x = 645,493.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.