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Finding the Third Proportional to 180,894 and 385,804

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Solution

The third proportional to 180,894 and 385,804 is: 822,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894 : 385,804 = 385,804 : x
  2. Step 2: Convert to fraction form
    180,894/385,804 = 385,804/x
  3. Step 3: Cross multiply
    180,894x = 385,804 × 385,804
  4. Step 4: Simplify right side
    180,894x = 148,844,726,416
  5. Step 5: Solve for x
    x = 148,844,726,416/180,894
  6. Step 6: Final answer
    x = 822,828.43

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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.