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Finding the Third Proportional to 152,622.56 and 224,521.88

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Solution

The third proportional to 152,622.56 and 224,521.88 is: 330,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,622.56 : 224,521.88 = 224,521.88 : x
  2. Step 2: Convert to fraction form
    152,622.56/224,521.88 = 224,521.88/x
  3. Step 3: Cross multiply
    152,622.56x = 224,521.88 × 224,521.88
  4. Step 4: Simplify right side
    152,622.56x = 50,410,072,353.52
  5. Step 5: Solve for x
    x = 50,410,072,353.52/152,622.56
  6. Step 6: Final answer
    x = 330,292.40

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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.