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Finding the Third Proportional to 190,078 and 265,740

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Solution

The third proportional to 190,078 and 265,740 is: 371,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,078 : 265,740 = 265,740 : x
  2. Step 2: Convert to fraction form
    190,078/265,740 = 265,740/x
  3. Step 3: Cross multiply
    190,078x = 265,740 × 265,740
  4. Step 4: Simplify right side
    190,078x = 70,617,747,600
  5. Step 5: Solve for x
    x = 70,617,747,600/190,078
  6. Step 6: Final answer
    x = 371,519.84

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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.