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Finding the Third Proportional to 146,450 and 304,483

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Solution

The third proportional to 146,450 and 304,483 is: 633,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,450 : 304,483 = 304,483 : x
  2. Step 2: Convert to fraction form
    146,450/304,483 = 304,483/x
  3. Step 3: Cross multiply
    146,450x = 304,483 × 304,483
  4. Step 4: Simplify right side
    146,450x = 92,709,897,289
  5. Step 5: Solve for x
    x = 92,709,897,289/146,450
  6. Step 6: Final answer
    x = 633,048.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.