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Finding the Third Proportional to 233,869.50 and 376,643.25

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Solution

The third proportional to 233,869.50 and 376,643.25 is: 606,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,869.50 : 376,643.25 = 376,643.25 : x
  2. Step 2: Convert to fraction form
    233,869.50/376,643.25 = 376,643.25/x
  3. Step 3: Cross multiply
    233,869.50x = 376,643.25 × 376,643.25
  4. Step 4: Simplify right side
    233,869.50x = 141,860,137,770.56
  5. Step 5: Solve for x
    x = 141,860,137,770.56/233,869.50
  6. Step 6: Final answer
    x = 606,578.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.