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Finding the Third Proportional to 114,226 and 247,520

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Solution

The third proportional to 114,226 and 247,520 is: 536,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,226 : 247,520 = 247,520 : x
  2. Step 2: Convert to fraction form
    114,226/247,520 = 247,520/x
  3. Step 3: Cross multiply
    114,226x = 247,520 × 247,520
  4. Step 4: Simplify right side
    114,226x = 61,266,150,400
  5. Step 5: Solve for x
    x = 61,266,150,400/114,226
  6. Step 6: Final answer
    x = 536,359.06

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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.