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Finding the Third Proportional to 150,153.75 and 202,246.88

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Solution

The third proportional to 150,153.75 and 202,246.88 is: 272,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,153.75 : 202,246.88 = 202,246.88 : x
  2. Step 2: Convert to fraction form
    150,153.75/202,246.88 = 202,246.88/x
  3. Step 3: Cross multiply
    150,153.75x = 202,246.88 × 202,246.88
  4. Step 4: Simplify right side
    150,153.75x = 40,903,798,447.27
  5. Step 5: Solve for x
    x = 40,903,798,447.27/150,153.75
  6. Step 6: Final answer
    x = 272,412.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.