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Finding the Third Proportional to 238,002 and 369,315

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Solution

The third proportional to 238,002 and 369,315 is: 573,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,002 : 369,315 = 369,315 : x
  2. Step 2: Convert to fraction form
    238,002/369,315 = 369,315/x
  3. Step 3: Cross multiply
    238,002x = 369,315 × 369,315
  4. Step 4: Simplify right side
    238,002x = 136,393,569,225
  5. Step 5: Solve for x
    x = 136,393,569,225/238,002
  6. Step 6: Final answer
    x = 573,077.41

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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.