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Finding the Third Proportional to 181,789.88 and 390,566.25

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Solution

The third proportional to 181,789.88 and 390,566.25 is: 839,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,789.88 : 390,566.25 = 390,566.25 : x
  2. Step 2: Convert to fraction form
    181,789.88/390,566.25 = 390,566.25/x
  3. Step 3: Cross multiply
    181,789.88x = 390,566.25 × 390,566.25
  4. Step 4: Simplify right side
    181,789.88x = 152,541,995,639.06
  5. Step 5: Solve for x
    x = 152,541,995,639.06/181,789.88
  6. Step 6: Final answer
    x = 839,111.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.