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Finding the Third Proportional to 201,125.53 and 298,209.09

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Solution

The third proportional to 201,125.53 and 298,209.09 is: 442,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,125.53 : 298,209.09 = 298,209.09 : x
  2. Step 2: Convert to fraction form
    201,125.53/298,209.09 = 298,209.09/x
  3. Step 3: Cross multiply
    201,125.53x = 298,209.09 × 298,209.09
  4. Step 4: Simplify right side
    201,125.53x = 88,928,663,595.20
  5. Step 5: Solve for x
    x = 88,928,663,595.20/201,125.53
  6. Step 6: Final answer
    x = 442,155.02

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