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Finding the Third Proportional to 182,188.50 and 400,246.50

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Solution

The third proportional to 182,188.50 and 400,246.50 is: 879,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,188.50 : 400,246.50 = 400,246.50 : x
  2. Step 2: Convert to fraction form
    182,188.50/400,246.50 = 400,246.50/x
  3. Step 3: Cross multiply
    182,188.50x = 400,246.50 × 400,246.50
  4. Step 4: Simplify right side
    182,188.50x = 160,197,260,762.25
  5. Step 5: Solve for x
    x = 160,197,260,762.25/182,188.50
  6. Step 6: Final answer
    x = 879,294.03

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Why These Related Problems?

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