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Finding the Third Proportional to 190,558 and 261,535

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Solution

The third proportional to 190,558 and 261,535 is: 358,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,558 : 261,535 = 261,535 : x
  2. Step 2: Convert to fraction form
    190,558/261,535 = 261,535/x
  3. Step 3: Cross multiply
    190,558x = 261,535 × 261,535
  4. Step 4: Simplify right side
    190,558x = 68,400,556,225
  5. Step 5: Solve for x
    x = 68,400,556,225/190,558
  6. Step 6: Final answer
    x = 358,948.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.