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Finding the Third Proportional to 145,164 and 222,068

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Solution

The third proportional to 145,164 and 222,068 is: 339,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,164 : 222,068 = 222,068 : x
  2. Step 2: Convert to fraction form
    145,164/222,068 = 222,068/x
  3. Step 3: Cross multiply
    145,164x = 222,068 × 222,068
  4. Step 4: Simplify right side
    145,164x = 49,314,196,624
  5. Step 5: Solve for x
    x = 49,314,196,624/145,164
  6. Step 6: Final answer
    x = 339,713.68

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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.