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Finding the Third Proportional to 248,567 and 372,878

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Solution

The third proportional to 248,567 and 372,878 is: 559,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,567 : 372,878 = 372,878 : x
  2. Step 2: Convert to fraction form
    248,567/372,878 = 372,878/x
  3. Step 3: Cross multiply
    248,567x = 372,878 × 372,878
  4. Step 4: Simplify right side
    248,567x = 139,038,002,884
  5. Step 5: Solve for x
    x = 139,038,002,884/248,567
  6. Step 6: Final answer
    x = 559,358.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.