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Finding the Third Proportional to 155,650 and 303,524

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Solution

The third proportional to 155,650 and 303,524 is: 591,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,650 : 303,524 = 303,524 : x
  2. Step 2: Convert to fraction form
    155,650/303,524 = 303,524/x
  3. Step 3: Cross multiply
    155,650x = 303,524 × 303,524
  4. Step 4: Simplify right side
    155,650x = 92,126,818,576
  5. Step 5: Solve for x
    x = 92,126,818,576/155,650
  6. Step 6: Final answer
    x = 591,884.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.