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Finding the Third Proportional to 182,184 and 400,237.50

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Solution

The third proportional to 182,184 and 400,237.50 is: 879,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,184 : 400,237.50 = 400,237.50 : x
  2. Step 2: Convert to fraction form
    182,184/400,237.50 = 400,237.50/x
  3. Step 3: Cross multiply
    182,184x = 400,237.50 × 400,237.50
  4. Step 4: Simplify right side
    182,184x = 160,190,056,406.25
  5. Step 5: Solve for x
    x = 160,190,056,406.25/182,184
  6. Step 6: Final answer
    x = 879,276.21

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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.