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Finding the Third Proportional to 183,604 and 389,264

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Solution

The third proportional to 183,604 and 389,264 is: 825,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,604 : 389,264 = 389,264 : x
  2. Step 2: Convert to fraction form
    183,604/389,264 = 389,264/x
  3. Step 3: Cross multiply
    183,604x = 389,264 × 389,264
  4. Step 4: Simplify right side
    183,604x = 151,526,461,696
  5. Step 5: Solve for x
    x = 151,526,461,696/183,604
  6. Step 6: Final answer
    x = 825,289.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.