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Finding the Third Proportional to 134,280 and 188,235

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Solution

The third proportional to 134,280 and 188,235 is: 263,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,280 : 188,235 = 188,235 : x
  2. Step 2: Convert to fraction form
    134,280/188,235 = 188,235/x
  3. Step 3: Cross multiply
    134,280x = 188,235 × 188,235
  4. Step 4: Simplify right side
    134,280x = 35,432,415,225
  5. Step 5: Solve for x
    x = 35,432,415,225/134,280
  6. Step 6: Final answer
    x = 263,869.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.