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Finding the Third Proportional to 152,635.50 and 224,379.94

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Solution

The third proportional to 152,635.50 and 224,379.94 is: 329,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,635.50 : 224,379.94 = 224,379.94 : x
  2. Step 2: Convert to fraction form
    152,635.50/224,379.94 = 224,379.94/x
  3. Step 3: Cross multiply
    152,635.50x = 224,379.94 × 224,379.94
  4. Step 4: Simplify right side
    152,635.50x = 50,346,356,352.50
  5. Step 5: Solve for x
    x = 50,346,356,352.50/152,635.50
  6. Step 6: Final answer
    x = 329,846.96

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Why These Related Problems?

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