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Finding the Third Proportional to 118,244 and 183,585

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Solution

The third proportional to 118,244 and 183,585 is: 285,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,244 : 183,585 = 183,585 : x
  2. Step 2: Convert to fraction form
    118,244/183,585 = 183,585/x
  3. Step 3: Cross multiply
    118,244x = 183,585 × 183,585
  4. Step 4: Simplify right side
    118,244x = 33,703,452,225
  5. Step 5: Solve for x
    x = 33,703,452,225/118,244
  6. Step 6: Final answer
    x = 285,033.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.