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Finding the Third Proportional to 181,159.50 and 390,021

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Solution

The third proportional to 181,159.50 and 390,021 is: 839,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,159.50 : 390,021 = 390,021 : x
  2. Step 2: Convert to fraction form
    181,159.50/390,021 = 390,021/x
  3. Step 3: Cross multiply
    181,159.50x = 390,021 × 390,021
  4. Step 4: Simplify right side
    181,159.50x = 152,116,380,441
  5. Step 5: Solve for x
    x = 152,116,380,441/181,159.50
  6. Step 6: Final answer
    x = 839,682.05

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