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Finding the Third Proportional to 155,646 and 303,516

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Solution

The third proportional to 155,646 and 303,516 is: 591,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,646 : 303,516 = 303,516 : x
  2. Step 2: Convert to fraction form
    155,646/303,516 = 303,516/x
  3. Step 3: Cross multiply
    155,646x = 303,516 × 303,516
  4. Step 4: Simplify right side
    155,646x = 92,121,962,256
  5. Step 5: Solve for x
    x = 92,121,962,256/155,646
  6. Step 6: Final answer
    x = 591,868.49

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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.