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Finding the Third Proportional to 255,201.75 and 376,985.25

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Solution

The third proportional to 255,201.75 and 376,985.25 is: 556,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,201.75 : 376,985.25 = 376,985.25 : x
  2. Step 2: Convert to fraction form
    255,201.75/376,985.25 = 376,985.25/x
  3. Step 3: Cross multiply
    255,201.75x = 376,985.25 × 376,985.25
  4. Step 4: Simplify right side
    255,201.75x = 142,117,878,717.56
  5. Step 5: Solve for x
    x = 142,117,878,717.56/255,201.75
  6. Step 6: Final answer
    x = 556,884.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.