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Finding the Third Proportional to 190,106 and 265,778

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Solution

The third proportional to 190,106 and 265,778 is: 371,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,106 : 265,778 = 265,778 : x
  2. Step 2: Convert to fraction form
    190,106/265,778 = 265,778/x
  3. Step 3: Cross multiply
    190,106x = 265,778 × 265,778
  4. Step 4: Simplify right side
    190,106x = 70,637,945,284
  5. Step 5: Solve for x
    x = 70,637,945,284/190,106
  6. Step 6: Final answer
    x = 371,571.36

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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.