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Finding the Third Proportional to 235,429.03 and 341,661.80

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Solution

The third proportional to 235,429.03 and 341,661.80 is: 495,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429.03 : 341,661.80 = 341,661.80 : x
  2. Step 2: Convert to fraction form
    235,429.03/341,661.80 = 341,661.80/x
  3. Step 3: Cross multiply
    235,429.03x = 341,661.80 × 341,661.80
  4. Step 4: Simplify right side
    235,429.03x = 116,732,783,443.85
  5. Step 5: Solve for x
    x = 116,732,783,443.85/235,429.03
  6. Step 6: Final answer
    x = 495,830.03

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.