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Finding the Third Proportional to 242,108 and 525,039

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Solution

The third proportional to 242,108 and 525,039 is: 1,138,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,108 : 525,039 = 525,039 : x
  2. Step 2: Convert to fraction form
    242,108/525,039 = 525,039/x
  3. Step 3: Cross multiply
    242,108x = 525,039 × 525,039
  4. Step 4: Simplify right side
    242,108x = 275,665,951,521
  5. Step 5: Solve for x
    x = 275,665,951,521/242,108
  6. Step 6: Final answer
    x = 1,138,607.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.