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Finding the Third Proportional to 137,749.50 and 301,905

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Solution

The third proportional to 137,749.50 and 301,905 is: 661,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,749.50 : 301,905 = 301,905 : x
  2. Step 2: Convert to fraction form
    137,749.50/301,905 = 301,905/x
  3. Step 3: Cross multiply
    137,749.50x = 301,905 × 301,905
  4. Step 4: Simplify right side
    137,749.50x = 91,146,629,025
  5. Step 5: Solve for x
    x = 91,146,629,025/137,749.50
  6. Step 6: Final answer
    x = 661,683.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.