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Finding the Third Proportional to 222,724 and 302,596

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Solution

The third proportional to 222,724 and 302,596 is: 411,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,724 : 302,596 = 302,596 : x
  2. Step 2: Convert to fraction form
    222,724/302,596 = 302,596/x
  3. Step 3: Cross multiply
    222,724x = 302,596 × 302,596
  4. Step 4: Simplify right side
    222,724x = 91,564,339,216
  5. Step 5: Solve for x
    x = 91,564,339,216/222,724
  6. Step 6: Final answer
    x = 411,111.24

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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.