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Finding the Third Proportional to 181,401 and 286,011

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Solution

The third proportional to 181,401 and 286,011 is: 450,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,401 : 286,011 = 286,011 : x
  2. Step 2: Convert to fraction form
    181,401/286,011 = 286,011/x
  3. Step 3: Cross multiply
    181,401x = 286,011 × 286,011
  4. Step 4: Simplify right side
    181,401x = 81,802,292,121
  5. Step 5: Solve for x
    x = 81,802,292,121/181,401
  6. Step 6: Final answer
    x = 450,947.31

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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.