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Finding the Third Proportional to 117,411 and 178,653

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Solution

The third proportional to 117,411 and 178,653 is: 271,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,411 : 178,653 = 178,653 : x
  2. Step 2: Convert to fraction form
    117,411/178,653 = 178,653/x
  3. Step 3: Cross multiply
    117,411x = 178,653 × 178,653
  4. Step 4: Simplify right side
    117,411x = 31,916,894,409
  5. Step 5: Solve for x
    x = 31,916,894,409/117,411
  6. Step 6: Final answer
    x = 271,839.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.