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Finding the Third Proportional to 133,066.13 and 272,342.25

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Solution

The third proportional to 133,066.13 and 272,342.25 is: 557,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066.13 : 272,342.25 = 272,342.25 : x
  2. Step 2: Convert to fraction form
    133,066.13/272,342.25 = 272,342.25/x
  3. Step 3: Cross multiply
    133,066.13x = 272,342.25 × 272,342.25
  4. Step 4: Simplify right side
    133,066.13x = 74,170,301,135.06
  5. Step 5: Solve for x
    x = 74,170,301,135.06/133,066.13
  6. Step 6: Final answer
    x = 557,394.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.