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Finding the Third Proportional to 163,164 and 361,320

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Solution

The third proportional to 163,164 and 361,320 is: 800,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,164 : 361,320 = 361,320 : x
  2. Step 2: Convert to fraction form
    163,164/361,320 = 361,320/x
  3. Step 3: Cross multiply
    163,164x = 361,320 × 361,320
  4. Step 4: Simplify right side
    163,164x = 130,552,142,400
  5. Step 5: Solve for x
    x = 130,552,142,400/163,164
  6. Step 6: Final answer
    x = 800,128.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.