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Finding the Third Proportional to 233,428 and 339,936

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Solution

The third proportional to 233,428 and 339,936 is: 495,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,428 : 339,936 = 339,936 : x
  2. Step 2: Convert to fraction form
    233,428/339,936 = 339,936/x
  3. Step 3: Cross multiply
    233,428x = 339,936 × 339,936
  4. Step 4: Simplify right side
    233,428x = 115,556,484,096
  5. Step 5: Solve for x
    x = 115,556,484,096/233,428
  6. Step 6: Final answer
    x = 495,041.23

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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.