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Finding the Third Proportional to 114,763 and 248,583

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Solution

The third proportional to 114,763 and 248,583 is: 538,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,763 : 248,583 = 248,583 : x
  2. Step 2: Convert to fraction form
    114,763/248,583 = 248,583/x
  3. Step 3: Cross multiply
    114,763x = 248,583 × 248,583
  4. Step 4: Simplify right side
    114,763x = 61,793,507,889
  5. Step 5: Solve for x
    x = 61,793,507,889/114,763
  6. Step 6: Final answer
    x = 538,444.52

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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.