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Finding the Third Proportional to 181,008 and 390,096

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Solution

The third proportional to 181,008 and 390,096 is: 840,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,008 : 390,096 = 390,096 : x
  2. Step 2: Convert to fraction form
    181,008/390,096 = 390,096/x
  3. Step 3: Cross multiply
    181,008x = 390,096 × 390,096
  4. Step 4: Simplify right side
    181,008x = 152,174,889,216
  5. Step 5: Solve for x
    x = 152,174,889,216/181,008
  6. Step 6: Final answer
    x = 840,708.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.