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Finding the Third Proportional to 163,702.50 and 252,310.50

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Solution

The third proportional to 163,702.50 and 252,310.50 is: 388,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,702.50 : 252,310.50 = 252,310.50 : x
  2. Step 2: Convert to fraction form
    163,702.50/252,310.50 = 252,310.50/x
  3. Step 3: Cross multiply
    163,702.50x = 252,310.50 × 252,310.50
  4. Step 4: Simplify right side
    163,702.50x = 63,660,588,410.25
  5. Step 5: Solve for x
    x = 63,660,588,410.25/163,702.50
  6. Step 6: Final answer
    x = 388,879.76

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Why These Related Problems?

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