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Finding the Third Proportional to 262,987.50 and 372,125.25

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Solution

The third proportional to 262,987.50 and 372,125.25 is: 526,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,987.50 : 372,125.25 = 372,125.25 : x
  2. Step 2: Convert to fraction form
    262,987.50/372,125.25 = 372,125.25/x
  3. Step 3: Cross multiply
    262,987.50x = 372,125.25 × 372,125.25
  4. Step 4: Simplify right side
    262,987.50x = 138,477,201,687.56
  5. Step 5: Solve for x
    x = 138,477,201,687.56/262,987.50
  6. Step 6: Final answer
    x = 526,554.31

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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.