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Finding the Third Proportional to 146,725.50 and 304,930.50

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Solution

The third proportional to 146,725.50 and 304,930.50 is: 633,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,725.50 : 304,930.50 = 304,930.50 : x
  2. Step 2: Convert to fraction form
    146,725.50/304,930.50 = 304,930.50/x
  3. Step 3: Cross multiply
    146,725.50x = 304,930.50 × 304,930.50
  4. Step 4: Simplify right side
    146,725.50x = 92,982,609,830.25
  5. Step 5: Solve for x
    x = 92,982,609,830.25/146,725.50
  6. Step 6: Final answer
    x = 633,718.13

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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.