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Finding the Third Proportional to 137,612 and 301,450

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Solution

The third proportional to 137,612 and 301,450 is: 660,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,612 : 301,450 = 301,450 : x
  2. Step 2: Convert to fraction form
    137,612/301,450 = 301,450/x
  3. Step 3: Cross multiply
    137,612x = 301,450 × 301,450
  4. Step 4: Simplify right side
    137,612x = 90,872,102,500
  5. Step 5: Solve for x
    x = 90,872,102,500/137,612
  6. Step 6: Final answer
    x = 660,350.13

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Why These Related Problems?

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