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Finding the Third Proportional to 111,714 and 243,501

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Solution

The third proportional to 111,714 and 243,501 is: 530,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,714 : 243,501 = 243,501 : x
  2. Step 2: Convert to fraction form
    111,714/243,501 = 243,501/x
  3. Step 3: Cross multiply
    111,714x = 243,501 × 243,501
  4. Step 4: Simplify right side
    111,714x = 59,292,737,001
  5. Step 5: Solve for x
    x = 59,292,737,001/111,714
  6. Step 6: Final answer
    x = 530,754.76

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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.