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Finding the Third Proportional to 183,675 and 278,284.50

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Solution

The third proportional to 183,675 and 278,284.50 is: 421,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,675 : 278,284.50 = 278,284.50 : x
  2. Step 2: Convert to fraction form
    183,675/278,284.50 = 278,284.50/x
  3. Step 3: Cross multiply
    183,675x = 278,284.50 × 278,284.50
  4. Step 4: Simplify right side
    183,675x = 77,442,262,940.25
  5. Step 5: Solve for x
    x = 77,442,262,940.25/183,675
  6. Step 6: Final answer
    x = 421,626.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.