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Finding the Third Proportional to 139,655 and 301,450

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Solution

The third proportional to 139,655 and 301,450 is: 650,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,655 : 301,450 = 301,450 : x
  2. Step 2: Convert to fraction form
    139,655/301,450 = 301,450/x
  3. Step 3: Cross multiply
    139,655x = 301,450 × 301,450
  4. Step 4: Simplify right side
    139,655x = 90,872,102,500
  5. Step 5: Solve for x
    x = 90,872,102,500/139,655
  6. Step 6: Final answer
    x = 650,689.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.