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Finding the Third Proportional to 183,522 and 389,077

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Solution

The third proportional to 183,522 and 389,077 is: 824,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,522 : 389,077 = 389,077 : x
  2. Step 2: Convert to fraction form
    183,522/389,077 = 389,077/x
  3. Step 3: Cross multiply
    183,522x = 389,077 × 389,077
  4. Step 4: Simplify right side
    183,522x = 151,380,911,929
  5. Step 5: Solve for x
    x = 151,380,911,929/183,522
  6. Step 6: Final answer
    x = 824,865.20

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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.