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Finding the Third Proportional to 188,431.50 and 255,877.50

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Solution

The third proportional to 188,431.50 and 255,877.50 is: 347,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,431.50 : 255,877.50 = 255,877.50 : x
  2. Step 2: Convert to fraction form
    188,431.50/255,877.50 = 255,877.50/x
  3. Step 3: Cross multiply
    188,431.50x = 255,877.50 × 255,877.50
  4. Step 4: Simplify right side
    188,431.50x = 65,473,295,006.25
  5. Step 5: Solve for x
    x = 65,473,295,006.25/188,431.50
  6. Step 6: Final answer
    x = 347,464.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.