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Finding the Third Proportional to 181,056 and 265,104

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Solution

The third proportional to 181,056 and 265,104 is: 388,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,056 : 265,104 = 265,104 : x
  2. Step 2: Convert to fraction form
    181,056/265,104 = 265,104/x
  3. Step 3: Cross multiply
    181,056x = 265,104 × 265,104
  4. Step 4: Simplify right side
    181,056x = 70,280,130,816
  5. Step 5: Solve for x
    x = 70,280,130,816/181,056
  6. Step 6: Final answer
    x = 388,167.92

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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.