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Finding the Third Proportional to 116,819 and 183,013

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Solution

The third proportional to 116,819 and 183,013 is: 286,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,819 : 183,013 = 183,013 : x
  2. Step 2: Convert to fraction form
    116,819/183,013 = 183,013/x
  3. Step 3: Cross multiply
    116,819x = 183,013 × 183,013
  4. Step 4: Simplify right side
    116,819x = 33,493,758,169
  5. Step 5: Solve for x
    x = 33,493,758,169/116,819
  6. Step 6: Final answer
    x = 286,714.99

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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.