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Finding the Third Proportional to 110,854 and 242,444

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Solution

The third proportional to 110,854 and 242,444 is: 530,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,854 : 242,444 = 242,444 : x
  2. Step 2: Convert to fraction form
    110,854/242,444 = 242,444/x
  3. Step 3: Cross multiply
    110,854x = 242,444 × 242,444
  4. Step 4: Simplify right side
    110,854x = 58,779,093,136
  5. Step 5: Solve for x
    x = 58,779,093,136/110,854
  6. Step 6: Final answer
    x = 530,238.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.