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Finding the Third Proportional to 111,676 and 243,050

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Solution

The third proportional to 111,676 and 243,050 is: 528,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,676 : 243,050 = 243,050 : x
  2. Step 2: Convert to fraction form
    111,676/243,050 = 243,050/x
  3. Step 3: Cross multiply
    111,676x = 243,050 × 243,050
  4. Step 4: Simplify right side
    111,676x = 59,073,302,500
  5. Step 5: Solve for x
    x = 59,073,302,500/111,676
  6. Step 6: Final answer
    x = 528,970.44

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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.