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Finding the Third Proportional to 163,184 and 252,156

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Solution

The third proportional to 163,184 and 252,156 is: 389,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,184 : 252,156 = 252,156 : x
  2. Step 2: Convert to fraction form
    163,184/252,156 = 252,156/x
  3. Step 3: Cross multiply
    163,184x = 252,156 × 252,156
  4. Step 4: Simplify right side
    163,184x = 63,582,648,336
  5. Step 5: Solve for x
    x = 63,582,648,336/163,184
  6. Step 6: Final answer
    x = 389,637.76

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Why These Related Problems?

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