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Finding the Third Proportional to 212,922 and 373,356

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Solution

The third proportional to 212,922 and 373,356 is: 654,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,922 : 373,356 = 373,356 : x
  2. Step 2: Convert to fraction form
    212,922/373,356 = 373,356/x
  3. Step 3: Cross multiply
    212,922x = 373,356 × 373,356
  4. Step 4: Simplify right side
    212,922x = 139,394,702,736
  5. Step 5: Solve for x
    x = 139,394,702,736/212,922
  6. Step 6: Final answer
    x = 654,674.96

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.