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Finding the Third Proportional to 138,073 and 295,806.50

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Solution

The third proportional to 138,073 and 295,806.50 is: 633,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,073 : 295,806.50 = 295,806.50 : x
  2. Step 2: Convert to fraction form
    138,073/295,806.50 = 295,806.50/x
  3. Step 3: Cross multiply
    138,073x = 295,806.50 × 295,806.50
  4. Step 4: Simplify right side
    138,073x = 87,501,485,442.25
  5. Step 5: Solve for x
    x = 87,501,485,442.25/138,073
  6. Step 6: Final answer
    x = 633,733.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.