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Finding the Third Proportional to 237,592 and 369,084

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Solution

The third proportional to 237,592 and 369,084 is: 573,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,592 : 369,084 = 369,084 : x
  2. Step 2: Convert to fraction form
    237,592/369,084 = 369,084/x
  3. Step 3: Cross multiply
    237,592x = 369,084 × 369,084
  4. Step 4: Simplify right side
    237,592x = 136,222,999,056
  5. Step 5: Solve for x
    x = 136,222,999,056/237,592
  6. Step 6: Final answer
    x = 573,348.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.