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Finding the Third Proportional to 114,300 and 247,669

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Solution

The third proportional to 114,300 and 247,669 is: 536,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,300 : 247,669 = 247,669 : x
  2. Step 2: Convert to fraction form
    114,300/247,669 = 247,669/x
  3. Step 3: Cross multiply
    114,300x = 247,669 × 247,669
  4. Step 4: Simplify right side
    114,300x = 61,339,933,561
  5. Step 5: Solve for x
    x = 61,339,933,561/114,300
  6. Step 6: Final answer
    x = 536,657.34

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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.