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Finding the Third Proportional to 159,148 and 350,280

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Solution

The third proportional to 159,148 and 350,280 is: 770,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,148 : 350,280 = 350,280 : x
  2. Step 2: Convert to fraction form
    159,148/350,280 = 350,280/x
  3. Step 3: Cross multiply
    159,148x = 350,280 × 350,280
  4. Step 4: Simplify right side
    159,148x = 122,696,078,400
  5. Step 5: Solve for x
    x = 122,696,078,400/159,148
  6. Step 6: Final answer
    x = 770,955.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.