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Finding the Third Proportional to 180,154 and 383,636

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Solution

The third proportional to 180,154 and 383,636 is: 816,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,154 : 383,636 = 383,636 : x
  2. Step 2: Convert to fraction form
    180,154/383,636 = 383,636/x
  3. Step 3: Cross multiply
    180,154x = 383,636 × 383,636
  4. Step 4: Simplify right side
    180,154x = 147,176,580,496
  5. Step 5: Solve for x
    x = 147,176,580,496/180,154
  6. Step 6: Final answer
    x = 816,948.72

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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.