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Finding the Third Proportional to 109,528 and 244,004

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Solution

The third proportional to 109,528 and 244,004 is: 543,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,528 : 244,004 = 244,004 : x
  2. Step 2: Convert to fraction form
    109,528/244,004 = 244,004/x
  3. Step 3: Cross multiply
    109,528x = 244,004 × 244,004
  4. Step 4: Simplify right side
    109,528x = 59,537,952,016
  5. Step 5: Solve for x
    x = 59,537,952,016/109,528
  6. Step 6: Final answer
    x = 543,586.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.