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Finding the Third Proportional to 163,176.75 and 252,176.63

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Solution

The third proportional to 163,176.75 and 252,176.63 is: 389,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,176.75 : 252,176.63 = 252,176.63 : x
  2. Step 2: Convert to fraction form
    163,176.75/252,176.63 = 252,176.63/x
  3. Step 3: Cross multiply
    163,176.75x = 252,176.63 × 252,176.63
  4. Step 4: Simplify right side
    163,176.75x = 63,593,050,196.39
  5. Step 5: Solve for x
    x = 63,593,050,196.39/163,176.75
  6. Step 6: Final answer
    x = 389,718.82

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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.