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Finding the Third Proportional to 137,206.50 and 300,648

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Solution

The third proportional to 137,206.50 and 300,648 is: 658,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,206.50 : 300,648 = 300,648 : x
  2. Step 2: Convert to fraction form
    137,206.50/300,648 = 300,648/x
  3. Step 3: Cross multiply
    137,206.50x = 300,648 × 300,648
  4. Step 4: Simplify right side
    137,206.50x = 90,389,219,904
  5. Step 5: Solve for x
    x = 90,389,219,904/137,206.50
  6. Step 6: Final answer
    x = 658,782.35

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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.