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Finding the Third Proportional to 234,006 and 362,925

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Solution

The third proportional to 234,006 and 362,925 is: 562,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,006 : 362,925 = 362,925 : x
  2. Step 2: Convert to fraction form
    234,006/362,925 = 362,925/x
  3. Step 3: Cross multiply
    234,006x = 362,925 × 362,925
  4. Step 4: Simplify right side
    234,006x = 131,714,555,625
  5. Step 5: Solve for x
    x = 131,714,555,625/234,006
  6. Step 6: Final answer
    x = 562,868.28

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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.