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Finding the Third Proportional to 163,180.50 and 253,200

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Solution

The third proportional to 163,180.50 and 253,200 is: 392,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,180.50 : 253,200 = 253,200 : x
  2. Step 2: Convert to fraction form
    163,180.50/253,200 = 253,200/x
  3. Step 3: Cross multiply
    163,180.50x = 253,200 × 253,200
  4. Step 4: Simplify right side
    163,180.50x = 64,110,240,000
  5. Step 5: Solve for x
    x = 64,110,240,000/163,180.50
  6. Step 6: Final answer
    x = 392,879.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.