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Finding the Third Proportional to 181,029 and 386,097

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Solution

The third proportional to 181,029 and 386,097 is: 823,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,029 : 386,097 = 386,097 : x
  2. Step 2: Convert to fraction form
    181,029/386,097 = 386,097/x
  3. Step 3: Cross multiply
    181,029x = 386,097 × 386,097
  4. Step 4: Simplify right side
    181,029x = 149,070,893,409
  5. Step 5: Solve for x
    x = 149,070,893,409/181,029
  6. Step 6: Final answer
    x = 823,464.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.