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Finding the Third Proportional to 190,119 and 265,814

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Solution

The third proportional to 190,119 and 265,814 is: 371,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,119 : 265,814 = 265,814 : x
  2. Step 2: Convert to fraction form
    190,119/265,814 = 265,814/x
  3. Step 3: Cross multiply
    190,119x = 265,814 × 265,814
  4. Step 4: Simplify right side
    190,119x = 70,657,082,596
  5. Step 5: Solve for x
    x = 70,657,082,596/190,119
  6. Step 6: Final answer
    x = 371,646.61

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