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Finding the Third Proportional to 111,638 and 243,004

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Solution

The third proportional to 111,638 and 243,004 is: 528,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,638 : 243,004 = 243,004 : x
  2. Step 2: Convert to fraction form
    111,638/243,004 = 243,004/x
  3. Step 3: Cross multiply
    111,638x = 243,004 × 243,004
  4. Step 4: Simplify right side
    111,638x = 59,050,944,016
  5. Step 5: Solve for x
    x = 59,050,944,016/111,638
  6. Step 6: Final answer
    x = 528,950.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.