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Finding the Third Proportional to 248,659.50 and 536,631

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Solution

The third proportional to 248,659.50 and 536,631 is: 1,158,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,659.50 : 536,631 = 536,631 : x
  2. Step 2: Convert to fraction form
    248,659.50/536,631 = 536,631/x
  3. Step 3: Cross multiply
    248,659.50x = 536,631 × 536,631
  4. Step 4: Simplify right side
    248,659.50x = 287,972,830,161
  5. Step 5: Solve for x
    x = 287,972,830,161/248,659.50
  6. Step 6: Final answer
    x = 1,158,101.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.