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Finding the Third Proportional to 148,411.50 and 330,042

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Solution

The third proportional to 148,411.50 and 330,042 is: 733,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,411.50 : 330,042 = 330,042 : x
  2. Step 2: Convert to fraction form
    148,411.50/330,042 = 330,042/x
  3. Step 3: Cross multiply
    148,411.50x = 330,042 × 330,042
  4. Step 4: Simplify right side
    148,411.50x = 108,927,721,764
  5. Step 5: Solve for x
    x = 108,927,721,764/148,411.50
  6. Step 6: Final answer
    x = 733,957.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.