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Finding the Third Proportional to 181,705.78 and 270,783

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Solution

The third proportional to 181,705.78 and 270,783 is: 403,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,705.78 : 270,783 = 270,783 : x
  2. Step 2: Convert to fraction form
    181,705.78/270,783 = 270,783/x
  3. Step 3: Cross multiply
    181,705.78x = 270,783 × 270,783
  4. Step 4: Simplify right side
    181,705.78x = 73,323,433,089
  5. Step 5: Solve for x
    x = 73,323,433,089/181,705.78
  6. Step 6: Final answer
    x = 403,528.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.