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Finding the Third Proportional to 133,111 and 290,786

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Solution

The third proportional to 133,111 and 290,786 is: 635,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111 : 290,786 = 290,786 : x
  2. Step 2: Convert to fraction form
    133,111/290,786 = 290,786/x
  3. Step 3: Cross multiply
    133,111x = 290,786 × 290,786
  4. Step 4: Simplify right side
    133,111x = 84,556,497,796
  5. Step 5: Solve for x
    x = 84,556,497,796/133,111
  6. Step 6: Final answer
    x = 635,232.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.