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Finding the Third Proportional to 111,663 and 243,401.63

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Solution

The third proportional to 111,663 and 243,401.63 is: 530,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,663 : 243,401.63 = 243,401.63 : x
  2. Step 2: Convert to fraction form
    111,663/243,401.63 = 243,401.63/x
  3. Step 3: Cross multiply
    111,663x = 243,401.63 × 243,401.63
  4. Step 4: Simplify right side
    111,663x = 59,244,351,052.64
  5. Step 5: Solve for x
    x = 59,244,351,052.64/111,663
  6. Step 6: Final answer
    x = 530,563.85

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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.