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Finding the Third Proportional to 114,236.50 and 247,539

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Solution

The third proportional to 114,236.50 and 247,539 is: 536,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,236.50 : 247,539 = 247,539 : x
  2. Step 2: Convert to fraction form
    114,236.50/247,539 = 247,539/x
  3. Step 3: Cross multiply
    114,236.50x = 247,539 × 247,539
  4. Step 4: Simplify right side
    114,236.50x = 61,275,556,521
  5. Step 5: Solve for x
    x = 61,275,556,521/114,236.50
  6. Step 6: Final answer
    x = 536,392.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.