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Finding the Third Proportional to 138,808 and 301,399.50

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Solution

The third proportional to 138,808 and 301,399.50 is: 654,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,808 : 301,399.50 = 301,399.50 : x
  2. Step 2: Convert to fraction form
    138,808/301,399.50 = 301,399.50/x
  3. Step 3: Cross multiply
    138,808x = 301,399.50 × 301,399.50
  4. Step 4: Simplify right side
    138,808x = 90,841,658,600.25
  5. Step 5: Solve for x
    x = 90,841,658,600.25/138,808
  6. Step 6: Final answer
    x = 654,441.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.