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Finding the Third Proportional to 263,004 and 372,145.50

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Solution

The third proportional to 263,004 and 372,145.50 is: 526,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,004 : 372,145.50 = 372,145.50 : x
  2. Step 2: Convert to fraction form
    263,004/372,145.50 = 372,145.50/x
  3. Step 3: Cross multiply
    263,004x = 372,145.50 × 372,145.50
  4. Step 4: Simplify right side
    263,004x = 138,492,273,170.25
  5. Step 5: Solve for x
    x = 138,492,273,170.25/263,004
  6. Step 6: Final answer
    x = 526,578.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.