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Finding the Third Proportional to 237,039 and 346,198.50

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Solution

The third proportional to 237,039 and 346,198.50 is: 505,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,039 : 346,198.50 = 346,198.50 : x
  2. Step 2: Convert to fraction form
    237,039/346,198.50 = 346,198.50/x
  3. Step 3: Cross multiply
    237,039x = 346,198.50 × 346,198.50
  4. Step 4: Simplify right side
    237,039x = 119,853,401,402.25
  5. Step 5: Solve for x
    x = 119,853,401,402.25/237,039
  6. Step 6: Final answer
    x = 505,627.35

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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.