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Finding the Third Proportional to 181,235 and 409,471

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Solution

The third proportional to 181,235 and 409,471 is: 925,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,235 : 409,471 = 409,471 : x
  2. Step 2: Convert to fraction form
    181,235/409,471 = 409,471/x
  3. Step 3: Cross multiply
    181,235x = 409,471 × 409,471
  4. Step 4: Simplify right side
    181,235x = 167,666,499,841
  5. Step 5: Solve for x
    x = 167,666,499,841/181,235
  6. Step 6: Final answer
    x = 925,133.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.