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Finding the Third Proportional to 181,792 and 389,503

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Solution

The third proportional to 181,792 and 389,503 is: 834,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,792 : 389,503 = 389,503 : x
  2. Step 2: Convert to fraction form
    181,792/389,503 = 389,503/x
  3. Step 3: Cross multiply
    181,792x = 389,503 × 389,503
  4. Step 4: Simplify right side
    181,792x = 151,712,587,009
  5. Step 5: Solve for x
    x = 151,712,587,009/181,792
  6. Step 6: Final answer
    x = 834,539.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.