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Finding the Third Proportional to 138,376.13 and 297,987.75

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Solution

The third proportional to 138,376.13 and 297,987.75 is: 641,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,376.13 : 297,987.75 = 297,987.75 : x
  2. Step 2: Convert to fraction form
    138,376.13/297,987.75 = 297,987.75/x
  3. Step 3: Cross multiply
    138,376.13x = 297,987.75 × 297,987.75
  4. Step 4: Simplify right side
    138,376.13x = 88,796,699,150.06
  5. Step 5: Solve for x
    x = 88,796,699,150.06/138,376.13
  6. Step 6: Final answer
    x = 641,705.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.