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Finding the Third Proportional to 201,180.50 and 435,029.50

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Solution

The third proportional to 201,180.50 and 435,029.50 is: 940,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,180.50 : 435,029.50 = 435,029.50 : x
  2. Step 2: Convert to fraction form
    201,180.50/435,029.50 = 435,029.50/x
  3. Step 3: Cross multiply
    201,180.50x = 435,029.50 × 435,029.50
  4. Step 4: Simplify right side
    201,180.50x = 189,250,665,870.25
  5. Step 5: Solve for x
    x = 189,250,665,870.25/201,180.50
  6. Step 6: Final answer
    x = 940,700.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.