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Finding the Third Proportional to 181,030.50 and 386,100

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Solution

The third proportional to 181,030.50 and 386,100 is: 823,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,030.50 : 386,100 = 386,100 : x
  2. Step 2: Convert to fraction form
    181,030.50/386,100 = 386,100/x
  3. Step 3: Cross multiply
    181,030.50x = 386,100 × 386,100
  4. Step 4: Simplify right side
    181,030.50x = 149,073,210,000
  5. Step 5: Solve for x
    x = 149,073,210,000/181,030.50
  6. Step 6: Final answer
    x = 823,470.13

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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.