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Finding the Third Proportional to 181,903.30 and 382,660.93

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Solution

The third proportional to 181,903.30 and 382,660.93 is: 804,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,903.30 : 382,660.93 = 382,660.93 : x
  2. Step 2: Convert to fraction form
    181,903.30/382,660.93 = 382,660.93/x
  3. Step 3: Cross multiply
    181,903.30x = 382,660.93 × 382,660.93
  4. Step 4: Simplify right side
    181,903.30x = 146,429,385,614.54
  5. Step 5: Solve for x
    x = 146,429,385,614.54/181,903.30
  6. Step 6: Final answer
    x = 804,984.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.