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Finding the Third Proportional to 149,894 and 222,570

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Solution

The third proportional to 149,894 and 222,570 is: 330,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,894 : 222,570 = 222,570 : x
  2. Step 2: Convert to fraction form
    149,894/222,570 = 222,570/x
  3. Step 3: Cross multiply
    149,894x = 222,570 × 222,570
  4. Step 4: Simplify right side
    149,894x = 49,537,404,900
  5. Step 5: Solve for x
    x = 49,537,404,900/149,894
  6. Step 6: Final answer
    x = 330,482.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.