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Finding the Third Proportional to 183,884.50 and 278,577.50

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Solution

The third proportional to 183,884.50 and 278,577.50 is: 422,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,884.50 : 278,577.50 = 278,577.50 : x
  2. Step 2: Convert to fraction form
    183,884.50/278,577.50 = 278,577.50/x
  3. Step 3: Cross multiply
    183,884.50x = 278,577.50 × 278,577.50
  4. Step 4: Simplify right side
    183,884.50x = 77,605,423,506.25
  5. Step 5: Solve for x
    x = 77,605,423,506.25/183,884.50
  6. Step 6: Final answer
    x = 422,033.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.