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Finding the Third Proportional to 115,405 and 182,583

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Solution

The third proportional to 115,405 and 182,583 is: 288,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,405 : 182,583 = 182,583 : x
  2. Step 2: Convert to fraction form
    115,405/182,583 = 182,583/x
  3. Step 3: Cross multiply
    115,405x = 182,583 × 182,583
  4. Step 4: Simplify right side
    115,405x = 33,336,551,889
  5. Step 5: Solve for x
    x = 33,336,551,889/115,405
  6. Step 6: Final answer
    x = 288,865.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.