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Finding the Third Proportional to 181,773 and 279,031.50

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Solution

The third proportional to 181,773 and 279,031.50 is: 428,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,773 : 279,031.50 = 279,031.50 : x
  2. Step 2: Convert to fraction form
    181,773/279,031.50 = 279,031.50/x
  3. Step 3: Cross multiply
    181,773x = 279,031.50 × 279,031.50
  4. Step 4: Simplify right side
    181,773x = 77,858,577,992.25
  5. Step 5: Solve for x
    x = 77,858,577,992.25/181,773
  6. Step 6: Final answer
    x = 428,328.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.