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Finding the Third Proportional to 181,088 and 385,504

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Solution

The third proportional to 181,088 and 385,504 is: 820,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,088 : 385,504 = 385,504 : x
  2. Step 2: Convert to fraction form
    181,088/385,504 = 385,504/x
  3. Step 3: Cross multiply
    181,088x = 385,504 × 385,504
  4. Step 4: Simplify right side
    181,088x = 148,613,334,016
  5. Step 5: Solve for x
    x = 148,613,334,016/181,088
  6. Step 6: Final answer
    x = 820,669.14

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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.