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Finding the Third Proportional to 116,980 and 183,318

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Solution

The third proportional to 116,980 and 183,318 is: 287,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,980 : 183,318 = 183,318 : x
  2. Step 2: Convert to fraction form
    116,980/183,318 = 183,318/x
  3. Step 3: Cross multiply
    116,980x = 183,318 × 183,318
  4. Step 4: Simplify right side
    116,980x = 33,605,489,124
  5. Step 5: Solve for x
    x = 33,605,489,124/116,980
  6. Step 6: Final answer
    x = 287,275.51

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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.