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Finding the Third Proportional to 188,436 and 269,734.50

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Solution

The third proportional to 188,436 and 269,734.50 is: 386,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,436 : 269,734.50 = 269,734.50 : x
  2. Step 2: Convert to fraction form
    188,436/269,734.50 = 269,734.50/x
  3. Step 3: Cross multiply
    188,436x = 269,734.50 × 269,734.50
  4. Step 4: Simplify right side
    188,436x = 72,756,700,490.25
  5. Step 5: Solve for x
    x = 72,756,700,490.25/188,436
  6. Step 6: Final answer
    x = 386,108.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.