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Finding the Third Proportional to 234,316 and 363,126

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Solution

The third proportional to 234,316 and 363,126 is: 562,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,316 : 363,126 = 363,126 : x
  2. Step 2: Convert to fraction form
    234,316/363,126 = 363,126/x
  3. Step 3: Cross multiply
    234,316x = 363,126 × 363,126
  4. Step 4: Simplify right side
    234,316x = 131,860,491,876
  5. Step 5: Solve for x
    x = 131,860,491,876/234,316
  6. Step 6: Final answer
    x = 562,746.43

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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.