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Finding the Third Proportional to 180,146 and 383,620

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Solution

The third proportional to 180,146 and 383,620 is: 816,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,146 : 383,620 = 383,620 : x
  2. Step 2: Convert to fraction form
    180,146/383,620 = 383,620/x
  3. Step 3: Cross multiply
    180,146x = 383,620 × 383,620
  4. Step 4: Simplify right side
    180,146x = 147,164,304,400
  5. Step 5: Solve for x
    x = 147,164,304,400/180,146
  6. Step 6: Final answer
    x = 816,916.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.