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Finding the Third Proportional to 185,013 and 404,265

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Solution

The third proportional to 185,013 and 404,265 is: 883,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,013 : 404,265 = 404,265 : x
  2. Step 2: Convert to fraction form
    185,013/404,265 = 404,265/x
  3. Step 3: Cross multiply
    185,013x = 404,265 × 404,265
  4. Step 4: Simplify right side
    185,013x = 163,430,190,225
  5. Step 5: Solve for x
    x = 163,430,190,225/185,013
  6. Step 6: Final answer
    x = 883,344.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.