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Finding the Third Proportional to 146,446.31 and 304,554.94

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Solution

The third proportional to 146,446.31 and 304,554.94 is: 633,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,446.31 : 304,554.94 = 304,554.94 : x
  2. Step 2: Convert to fraction form
    146,446.31/304,554.94 = 304,554.94/x
  3. Step 3: Cross multiply
    146,446.31x = 304,554.94 × 304,554.94
  4. Step 4: Simplify right side
    146,446.31x = 92,753,709,955.63
  5. Step 5: Solve for x
    x = 92,753,709,955.63/146,446.31
  6. Step 6: Final answer
    x = 633,363.23

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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.