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Finding the Third Proportional to 152,366 and 228,405

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Solution

The third proportional to 152,366 and 228,405 is: 342,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,366 : 228,405 = 228,405 : x
  2. Step 2: Convert to fraction form
    152,366/228,405 = 228,405/x
  3. Step 3: Cross multiply
    152,366x = 228,405 × 228,405
  4. Step 4: Simplify right side
    152,366x = 52,168,844,025
  5. Step 5: Solve for x
    x = 52,168,844,025/152,366
  6. Step 6: Final answer
    x = 342,391.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.