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Finding the Third Proportional to 182,185 and 400,239.50

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Solution

The third proportional to 182,185 and 400,239.50 is: 879,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,185 : 400,239.50 = 400,239.50 : x
  2. Step 2: Convert to fraction form
    182,185/400,239.50 = 400,239.50/x
  3. Step 3: Cross multiply
    182,185x = 400,239.50 × 400,239.50
  4. Step 4: Simplify right side
    182,185x = 160,191,657,360.25
  5. Step 5: Solve for x
    x = 160,191,657,360.25/182,185
  6. Step 6: Final answer
    x = 879,280.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.