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Finding the Third Proportional to 222,772.50 and 302,647.50

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Solution

The third proportional to 222,772.50 and 302,647.50 is: 411,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,772.50 : 302,647.50 = 302,647.50 : x
  2. Step 2: Convert to fraction form
    222,772.50/302,647.50 = 302,647.50/x
  3. Step 3: Cross multiply
    222,772.50x = 302,647.50 × 302,647.50
  4. Step 4: Simplify right side
    222,772.50x = 91,595,509,256.25
  5. Step 5: Solve for x
    x = 91,595,509,256.25/222,772.50
  6. Step 6: Final answer
    x = 411,161.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.