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Finding the Third Proportional to 138,987 and 303,459.75

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Solution

The third proportional to 138,987 and 303,459.75 is: 662,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,987 : 303,459.75 = 303,459.75 : x
  2. Step 2: Convert to fraction form
    138,987/303,459.75 = 303,459.75/x
  3. Step 3: Cross multiply
    138,987x = 303,459.75 × 303,459.75
  4. Step 4: Simplify right side
    138,987x = 92,087,819,870.06
  5. Step 5: Solve for x
    x = 92,087,819,870.06/138,987
  6. Step 6: Final answer
    x = 662,564.27

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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.