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Finding the Third Proportional to 337,198.50 and 370,822.50

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Solution

The third proportional to 337,198.50 and 370,822.50 is: 407,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,198.50 : 370,822.50 = 370,822.50 : x
  2. Step 2: Convert to fraction form
    337,198.50/370,822.50 = 370,822.50/x
  3. Step 3: Cross multiply
    337,198.50x = 370,822.50 × 370,822.50
  4. Step 4: Simplify right side
    337,198.50x = 137,509,326,506.25
  5. Step 5: Solve for x
    x = 137,509,326,506.25/337,198.50
  6. Step 6: Final answer
    x = 407,799.34

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.