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Finding the Third Proportional to 170,099 and 264,564

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Solution

The third proportional to 170,099 and 264,564 is: 411,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,099 : 264,564 = 264,564 : x
  2. Step 2: Convert to fraction form
    170,099/264,564 = 264,564/x
  3. Step 3: Cross multiply
    170,099x = 264,564 × 264,564
  4. Step 4: Simplify right side
    170,099x = 69,994,110,096
  5. Step 5: Solve for x
    x = 69,994,110,096/170,099
  6. Step 6: Final answer
    x = 411,490.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.