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Finding the Third Proportional to 131,433 and 287,191

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Solution

The third proportional to 131,433 and 287,191 is: 627,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,433 : 287,191 = 287,191 : x
  2. Step 2: Convert to fraction form
    131,433/287,191 = 287,191/x
  3. Step 3: Cross multiply
    131,433x = 287,191 × 287,191
  4. Step 4: Simplify right side
    131,433x = 82,478,670,481
  5. Step 5: Solve for x
    x = 82,478,670,481/131,433
  6. Step 6: Final answer
    x = 627,533.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.