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Finding the Third Proportional to 181,068 and 265,122

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Solution

The third proportional to 181,068 and 265,122 is: 388,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,068 : 265,122 = 265,122 : x
  2. Step 2: Convert to fraction form
    181,068/265,122 = 265,122/x
  3. Step 3: Cross multiply
    181,068x = 265,122 × 265,122
  4. Step 4: Simplify right side
    181,068x = 70,289,674,884
  5. Step 5: Solve for x
    x = 70,289,674,884/181,068
  6. Step 6: Final answer
    x = 388,194.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.