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Finding the Third Proportional to 137,207.50 and 300,650

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Solution

The third proportional to 137,207.50 and 300,650 is: 658,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,207.50 : 300,650 = 300,650 : x
  2. Step 2: Convert to fraction form
    137,207.50/300,650 = 300,650/x
  3. Step 3: Cross multiply
    137,207.50x = 300,650 × 300,650
  4. Step 4: Simplify right side
    137,207.50x = 90,390,422,500
  5. Step 5: Solve for x
    x = 90,390,422,500/137,207.50
  6. Step 6: Final answer
    x = 658,786.31

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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.