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Finding the Third Proportional to 88,380 and 186,994

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Solution

The third proportional to 88,380 and 186,994 is: 395,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,380 : 186,994 = 186,994 : x
  2. Step 2: Convert to fraction form
    88,380/186,994 = 186,994/x
  3. Step 3: Cross multiply
    88,380x = 186,994 × 186,994
  4. Step 4: Simplify right side
    88,380x = 34,966,756,036
  5. Step 5: Solve for x
    x = 34,966,756,036/88,380
  6. Step 6: Final answer
    x = 395,641.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.