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Finding the Third Proportional to 222,363 and 326,133

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Solution

The third proportional to 222,363 and 326,133 is: 478,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,363 : 326,133 = 326,133 : x
  2. Step 2: Convert to fraction form
    222,363/326,133 = 326,133/x
  3. Step 3: Cross multiply
    222,363x = 326,133 × 326,133
  4. Step 4: Simplify right side
    222,363x = 106,362,733,689
  5. Step 5: Solve for x
    x = 106,362,733,689/222,363
  6. Step 6: Final answer
    x = 478,329.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.