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Finding the Third Proportional to 201,130.50 and 298,216.50

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Solution

The third proportional to 201,130.50 and 298,216.50 is: 442,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130.50 : 298,216.50 = 298,216.50 : x
  2. Step 2: Convert to fraction form
    201,130.50/298,216.50 = 298,216.50/x
  3. Step 3: Cross multiply
    201,130.50x = 298,216.50 × 298,216.50
  4. Step 4: Simplify right side
    201,130.50x = 88,933,080,872.25
  5. Step 5: Solve for x
    x = 88,933,080,872.25/201,130.50
  6. Step 6: Final answer
    x = 442,166.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.