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Finding the Third Proportional to 145,306 and 222,185

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Solution

The third proportional to 145,306 and 222,185 is: 339,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,306 : 222,185 = 222,185 : x
  2. Step 2: Convert to fraction form
    145,306/222,185 = 222,185/x
  3. Step 3: Cross multiply
    145,306x = 222,185 × 222,185
  4. Step 4: Simplify right side
    145,306x = 49,366,174,225
  5. Step 5: Solve for x
    x = 49,366,174,225/145,306
  6. Step 6: Final answer
    x = 339,739.41

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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.