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Finding the Third Proportional to 211,477.50 and 323,913

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Solution

The third proportional to 211,477.50 and 323,913 is: 496,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477.50 : 323,913 = 323,913 : x
  2. Step 2: Convert to fraction form
    211,477.50/323,913 = 323,913/x
  3. Step 3: Cross multiply
    211,477.50x = 323,913 × 323,913
  4. Step 4: Simplify right side
    211,477.50x = 104,919,631,569
  5. Step 5: Solve for x
    x = 104,919,631,569/211,477.50
  6. Step 6: Final answer
    x = 496,126.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.