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Finding the Third Proportional to 190,122 and 265,818

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Solution

The third proportional to 190,122 and 265,818 is: 371,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,122 : 265,818 = 265,818 : x
  2. Step 2: Convert to fraction form
    190,122/265,818 = 265,818/x
  3. Step 3: Cross multiply
    190,122x = 265,818 × 265,818
  4. Step 4: Simplify right side
    190,122x = 70,659,209,124
  5. Step 5: Solve for x
    x = 70,659,209,124/190,122
  6. Step 6: Final answer
    x = 371,651.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.