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Finding the Third Proportional to 179,364.75 and 377,319

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Solution

The third proportional to 179,364.75 and 377,319 is: 793,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,364.75 : 377,319 = 377,319 : x
  2. Step 2: Convert to fraction form
    179,364.75/377,319 = 377,319/x
  3. Step 3: Cross multiply
    179,364.75x = 377,319 × 377,319
  4. Step 4: Simplify right side
    179,364.75x = 142,369,627,761
  5. Step 5: Solve for x
    x = 142,369,627,761/179,364.75
  6. Step 6: Final answer
    x = 793,743.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.