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Finding the Third Proportional to 242,241 and 371,837

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Solution

The third proportional to 242,241 and 371,837 is: 570,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,241 : 371,837 = 371,837 : x
  2. Step 2: Convert to fraction form
    242,241/371,837 = 371,837/x
  3. Step 3: Cross multiply
    242,241x = 371,837 × 371,837
  4. Step 4: Simplify right side
    242,241x = 138,262,754,569
  5. Step 5: Solve for x
    x = 138,262,754,569/242,241
  6. Step 6: Final answer
    x = 570,765.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.