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Finding the Third Proportional to 190,170 and 265,854

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Solution

The third proportional to 190,170 and 265,854 is: 371,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,170 : 265,854 = 265,854 : x
  2. Step 2: Convert to fraction form
    190,170/265,854 = 265,854/x
  3. Step 3: Cross multiply
    190,170x = 265,854 × 265,854
  4. Step 4: Simplify right side
    190,170x = 70,678,349,316
  5. Step 5: Solve for x
    x = 70,678,349,316/190,170
  6. Step 6: Final answer
    x = 371,658.78

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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.