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Finding the Third Proportional to 181,060 and 265,110

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Solution

The third proportional to 181,060 and 265,110 is: 388,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,060 : 265,110 = 265,110 : x
  2. Step 2: Convert to fraction form
    181,060/265,110 = 265,110/x
  3. Step 3: Cross multiply
    181,060x = 265,110 × 265,110
  4. Step 4: Simplify right side
    181,060x = 70,283,312,100
  5. Step 5: Solve for x
    x = 70,283,312,100/181,060
  6. Step 6: Final answer
    x = 388,176.91

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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.