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Finding the Third Proportional to 181,797 and 390,580.50

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Solution

The third proportional to 181,797 and 390,580.50 is: 839,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,797 : 390,580.50 = 390,580.50 : x
  2. Step 2: Convert to fraction form
    181,797/390,580.50 = 390,580.50/x
  3. Step 3: Cross multiply
    181,797x = 390,580.50 × 390,580.50
  4. Step 4: Simplify right side
    181,797x = 152,553,126,980.25
  5. Step 5: Solve for x
    x = 152,553,126,980.25/181,797
  6. Step 6: Final answer
    x = 839,139.96

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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.