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Finding the Third Proportional to 152,771.06 and 224,474.06

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Solution

The third proportional to 152,771.06 and 224,474.06 is: 329,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,771.06 : 224,474.06 = 224,474.06 : x
  2. Step 2: Convert to fraction form
    152,771.06/224,474.06 = 224,474.06/x
  3. Step 3: Cross multiply
    152,771.06x = 224,474.06 × 224,474.06
  4. Step 4: Simplify right side
    152,771.06x = 50,388,604,735.25
  5. Step 5: Solve for x
    x = 50,388,604,735.25/152,771.06
  6. Step 6: Final answer
    x = 329,830.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.