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Finding the Third Proportional to 237,192 and 366,264

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Solution

The third proportional to 237,192 and 366,264 is: 565,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,192 : 366,264 = 366,264 : x
  2. Step 2: Convert to fraction form
    237,192/366,264 = 366,264/x
  3. Step 3: Cross multiply
    237,192x = 366,264 × 366,264
  4. Step 4: Simplify right side
    237,192x = 134,149,317,696
  5. Step 5: Solve for x
    x = 134,149,317,696/237,192
  6. Step 6: Final answer
    x = 565,572.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.