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Finding the Third Proportional to 150,382 and 211,585

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Solution

The third proportional to 150,382 and 211,585 is: 297,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,382 : 211,585 = 211,585 : x
  2. Step 2: Convert to fraction form
    150,382/211,585 = 211,585/x
  3. Step 3: Cross multiply
    150,382x = 211,585 × 211,585
  4. Step 4: Simplify right side
    150,382x = 44,768,212,225
  5. Step 5: Solve for x
    x = 44,768,212,225/150,382
  6. Step 6: Final answer
    x = 297,696.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.