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Finding the Third Proportional to 137,713.50 and 301,635

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Solution

The third proportional to 137,713.50 and 301,635 is: 660,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,713.50 : 301,635 = 301,635 : x
  2. Step 2: Convert to fraction form
    137,713.50/301,635 = 301,635/x
  3. Step 3: Cross multiply
    137,713.50x = 301,635 × 301,635
  4. Step 4: Simplify right side
    137,713.50x = 90,983,673,225
  5. Step 5: Solve for x
    x = 90,983,673,225/137,713.50
  6. Step 6: Final answer
    x = 660,673.60

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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.