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Finding the Third Proportional to 163,276.50 and 252,196.50

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Solution

The third proportional to 163,276.50 and 252,196.50 is: 389,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,276.50 : 252,196.50 = 252,196.50 : x
  2. Step 2: Convert to fraction form
    163,276.50/252,196.50 = 252,196.50/x
  3. Step 3: Cross multiply
    163,276.50x = 252,196.50 × 252,196.50
  4. Step 4: Simplify right side
    163,276.50x = 63,603,074,612.25
  5. Step 5: Solve for x
    x = 63,603,074,612.25/163,276.50
  6. Step 6: Final answer
    x = 389,542.12

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