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Finding the Third Proportional to 183,494.50 and 383,634.50

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Solution

The third proportional to 183,494.50 and 383,634.50 is: 802,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,494.50 : 383,634.50 = 383,634.50 : x
  2. Step 2: Convert to fraction form
    183,494.50/383,634.50 = 383,634.50/x
  3. Step 3: Cross multiply
    183,494.50x = 383,634.50 × 383,634.50
  4. Step 4: Simplify right side
    183,494.50x = 147,175,429,590.25
  5. Step 5: Solve for x
    x = 147,175,429,590.25/183,494.50
  6. Step 6: Final answer
    x = 802,069.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.