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Finding the Third Proportional to 130,003.50 and 279,410.25

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Solution

The third proportional to 130,003.50 and 279,410.25 is: 600,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,003.50 : 279,410.25 = 279,410.25 : x
  2. Step 2: Convert to fraction form
    130,003.50/279,410.25 = 279,410.25/x
  3. Step 3: Cross multiply
    130,003.50x = 279,410.25 × 279,410.25
  4. Step 4: Simplify right side
    130,003.50x = 78,070,087,805.06
  5. Step 5: Solve for x
    x = 78,070,087,805.06/130,003.50
  6. Step 6: Final answer
    x = 600,522.97

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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.