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Finding the Third Proportional to 227,935.50 and 489,101

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Solution

The third proportional to 227,935.50 and 489,101 is: 1,049,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,935.50 : 489,101 = 489,101 : x
  2. Step 2: Convert to fraction form
    227,935.50/489,101 = 489,101/x
  3. Step 3: Cross multiply
    227,935.50x = 489,101 × 489,101
  4. Step 4: Simplify right side
    227,935.50x = 239,219,788,201
  5. Step 5: Solve for x
    x = 239,219,788,201/227,935.50
  6. Step 6: Final answer
    x = 1,049,506.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.