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Finding the Third Proportional to 150,533 and 221,642

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Solution

The third proportional to 150,533 and 221,642 is: 326,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,533 : 221,642 = 221,642 : x
  2. Step 2: Convert to fraction form
    150,533/221,642 = 221,642/x
  3. Step 3: Cross multiply
    150,533x = 221,642 × 221,642
  4. Step 4: Simplify right side
    150,533x = 49,125,176,164
  5. Step 5: Solve for x
    x = 49,125,176,164/150,533
  6. Step 6: Final answer
    x = 326,341.57

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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.