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Finding the Third Proportional to 234,051 and 342,745.50

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Solution

The third proportional to 234,051 and 342,745.50 is: 501,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,051 : 342,745.50 = 342,745.50 : x
  2. Step 2: Convert to fraction form
    234,051/342,745.50 = 342,745.50/x
  3. Step 3: Cross multiply
    234,051x = 342,745.50 × 342,745.50
  4. Step 4: Simplify right side
    234,051x = 117,474,477,770.25
  5. Step 5: Solve for x
    x = 117,474,477,770.25/234,051
  6. Step 6: Final answer
    x = 501,918.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.