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Finding the Third Proportional to 145,166 and 222,071

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Solution

The third proportional to 145,166 and 222,071 is: 339,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,166 : 222,071 = 222,071 : x
  2. Step 2: Convert to fraction form
    145,166/222,071 = 222,071/x
  3. Step 3: Cross multiply
    145,166x = 222,071 × 222,071
  4. Step 4: Simplify right side
    145,166x = 49,315,529,041
  5. Step 5: Solve for x
    x = 49,315,529,041/145,166
  6. Step 6: Final answer
    x = 339,718.18

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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.