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Finding the Third Proportional to 117,004 and 183,356

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Solution

The third proportional to 117,004 and 183,356 is: 287,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004 : 183,356 = 183,356 : x
  2. Step 2: Convert to fraction form
    117,004/183,356 = 183,356/x
  3. Step 3: Cross multiply
    117,004x = 183,356 × 183,356
  4. Step 4: Simplify right side
    117,004x = 33,619,422,736
  5. Step 5: Solve for x
    x = 33,619,422,736/117,004
  6. Step 6: Final answer
    x = 287,335.67

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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.