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Finding the Third Proportional to 233,916 and 376,716

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Solution

The third proportional to 233,916 and 376,716 is: 606,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,916 : 376,716 = 376,716 : x
  2. Step 2: Convert to fraction form
    233,916/376,716 = 376,716/x
  3. Step 3: Cross multiply
    233,916x = 376,716 × 376,716
  4. Step 4: Simplify right side
    233,916x = 141,914,944,656
  5. Step 5: Solve for x
    x = 141,914,944,656/233,916
  6. Step 6: Final answer
    x = 606,691.91

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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.