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Finding the Third Proportional to 113,808 and 178,536

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Solution

The third proportional to 113,808 and 178,536 is: 280,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,808 : 178,536 = 178,536 : x
  2. Step 2: Convert to fraction form
    113,808/178,536 = 178,536/x
  3. Step 3: Cross multiply
    113,808x = 178,536 × 178,536
  4. Step 4: Simplify right side
    113,808x = 31,875,103,296
  5. Step 5: Solve for x
    x = 31,875,103,296/113,808
  6. Step 6: Final answer
    x = 280,077.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.