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Finding the Third Proportional to 145,590 and 222,273

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Solution

The third proportional to 145,590 and 222,273 is: 339,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,590 : 222,273 = 222,273 : x
  2. Step 2: Convert to fraction form
    145,590/222,273 = 222,273/x
  3. Step 3: Cross multiply
    145,590x = 222,273 × 222,273
  4. Step 4: Simplify right side
    145,590x = 49,405,286,529
  5. Step 5: Solve for x
    x = 49,405,286,529/145,590
  6. Step 6: Final answer
    x = 339,345.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.