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Finding the Third Proportional to 151,938 and 282,191

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Solution

The third proportional to 151,938 and 282,191 is: 524,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,938 : 282,191 = 282,191 : x
  2. Step 2: Convert to fraction form
    151,938/282,191 = 282,191/x
  3. Step 3: Cross multiply
    151,938x = 282,191 × 282,191
  4. Step 4: Simplify right side
    151,938x = 79,631,760,481
  5. Step 5: Solve for x
    x = 79,631,760,481/151,938
  6. Step 6: Final answer
    x = 524,106.94

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.