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Finding the Third Proportional to 233,775 and 341,914

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Solution

The third proportional to 233,775 and 341,914 is: 500,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,775 : 341,914 = 341,914 : x
  2. Step 2: Convert to fraction form
    233,775/341,914 = 341,914/x
  3. Step 3: Cross multiply
    233,775x = 341,914 × 341,914
  4. Step 4: Simplify right side
    233,775x = 116,905,183,396
  5. Step 5: Solve for x
    x = 116,905,183,396/233,775
  6. Step 6: Final answer
    x = 500,075.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.