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Finding the Third Proportional to 197,154 and 430,794

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Solution

The third proportional to 197,154 and 430,794 is: 941,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,154 : 430,794 = 430,794 : x
  2. Step 2: Convert to fraction form
    197,154/430,794 = 430,794/x
  3. Step 3: Cross multiply
    197,154x = 430,794 × 430,794
  4. Step 4: Simplify right side
    197,154x = 185,583,470,436
  5. Step 5: Solve for x
    x = 185,583,470,436/197,154
  6. Step 6: Final answer
    x = 941,312.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.