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Finding the Third Proportional to 147,357 and 221,895

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Solution

The third proportional to 147,357 and 221,895 is: 334,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,357 : 221,895 = 221,895 : x
  2. Step 2: Convert to fraction form
    147,357/221,895 = 221,895/x
  3. Step 3: Cross multiply
    147,357x = 221,895 × 221,895
  4. Step 4: Simplify right side
    147,357x = 49,237,391,025
  5. Step 5: Solve for x
    x = 49,237,391,025/147,357
  6. Step 6: Final answer
    x = 334,136.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.