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Finding the Third Proportional to 233,404 and 362,108

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Solution

The third proportional to 233,404 and 362,108 is: 561,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,404 : 362,108 = 362,108 : x
  2. Step 2: Convert to fraction form
    233,404/362,108 = 362,108/x
  3. Step 3: Cross multiply
    233,404x = 362,108 × 362,108
  4. Step 4: Simplify right side
    233,404x = 131,122,203,664
  5. Step 5: Solve for x
    x = 131,122,203,664/233,404
  6. Step 6: Final answer
    x = 561,782.16

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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.