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Finding the Third Proportional to 274,134 and 430,133

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Solution

The third proportional to 274,134 and 430,133 is: 674,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,134 : 430,133 = 430,133 : x
  2. Step 2: Convert to fraction form
    274,134/430,133 = 430,133/x
  3. Step 3: Cross multiply
    274,134x = 430,133 × 430,133
  4. Step 4: Simplify right side
    274,134x = 185,014,397,689
  5. Step 5: Solve for x
    x = 185,014,397,689/274,134
  6. Step 6: Final answer
    x = 674,904.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.