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Finding the Third Proportional to 248,784.75 and 374,969.25

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Solution

The third proportional to 248,784.75 and 374,969.25 is: 565,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,784.75 : 374,969.25 = 374,969.25 : x
  2. Step 2: Convert to fraction form
    248,784.75/374,969.25 = 374,969.25/x
  3. Step 3: Cross multiply
    248,784.75x = 374,969.25 × 374,969.25
  4. Step 4: Simplify right side
    248,784.75x = 140,601,938,445.56
  5. Step 5: Solve for x
    x = 140,601,938,445.56/248,784.75
  6. Step 6: Final answer
    x = 565,154.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.