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Finding the Third Proportional to 137,690 and 301,300

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Solution

The third proportional to 137,690 and 301,300 is: 659,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,690 : 301,300 = 301,300 : x
  2. Step 2: Convert to fraction form
    137,690/301,300 = 301,300/x
  3. Step 3: Cross multiply
    137,690x = 301,300 × 301,300
  4. Step 4: Simplify right side
    137,690x = 90,781,690,000
  5. Step 5: Solve for x
    x = 90,781,690,000/137,690
  6. Step 6: Final answer
    x = 659,319.41

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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.