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Finding the Third Proportional to 163,564 and 246,166

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Solution

The third proportional to 163,564 and 246,166 is: 370,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,564 : 246,166 = 246,166 : x
  2. Step 2: Convert to fraction form
    163,564/246,166 = 246,166/x
  3. Step 3: Cross multiply
    163,564x = 246,166 × 246,166
  4. Step 4: Simplify right side
    163,564x = 60,597,699,556
  5. Step 5: Solve for x
    x = 60,597,699,556/163,564
  6. Step 6: Final answer
    x = 370,483.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.