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Finding the Third Proportional to 150,586 and 221,706

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Solution

The third proportional to 150,586 and 221,706 is: 326,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,586 : 221,706 = 221,706 : x
  2. Step 2: Convert to fraction form
    150,586/221,706 = 221,706/x
  3. Step 3: Cross multiply
    150,586x = 221,706 × 221,706
  4. Step 4: Simplify right side
    150,586x = 49,153,550,436
  5. Step 5: Solve for x
    x = 49,153,550,436/150,586
  6. Step 6: Final answer
    x = 326,415.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.