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Finding the Third Proportional to 163,186 and 252,160

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Solution

The third proportional to 163,186 and 252,160 is: 389,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,186 : 252,160 = 252,160 : x
  2. Step 2: Convert to fraction form
    163,186/252,160 = 252,160/x
  3. Step 3: Cross multiply
    163,186x = 252,160 × 252,160
  4. Step 4: Simplify right side
    163,186x = 63,584,665,600
  5. Step 5: Solve for x
    x = 63,584,665,600/163,186
  6. Step 6: Final answer
    x = 389,645.35

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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.