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Finding the Third Proportional to 133,716 and 293,673

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Solution

The third proportional to 133,716 and 293,673 is: 644,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,716 : 293,673 = 293,673 : x
  2. Step 2: Convert to fraction form
    133,716/293,673 = 293,673/x
  3. Step 3: Cross multiply
    133,716x = 293,673 × 293,673
  4. Step 4: Simplify right side
    133,716x = 86,243,830,929
  5. Step 5: Solve for x
    x = 86,243,830,929/133,716
  6. Step 6: Final answer
    x = 644,977.65

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