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Finding the Third Proportional to 212,238 and 301,752

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Solution

The third proportional to 212,238 and 301,752 is: 429,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,238 : 301,752 = 301,752 : x
  2. Step 2: Convert to fraction form
    212,238/301,752 = 301,752/x
  3. Step 3: Cross multiply
    212,238x = 301,752 × 301,752
  4. Step 4: Simplify right side
    212,238x = 91,054,269,504
  5. Step 5: Solve for x
    x = 91,054,269,504/212,238
  6. Step 6: Final answer
    x = 429,019.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.