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Finding the Third Proportional to 215,262 and 295,497

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Solution

The third proportional to 215,262 and 295,497 is: 405,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,262 : 295,497 = 295,497 : x
  2. Step 2: Convert to fraction form
    215,262/295,497 = 295,497/x
  3. Step 3: Cross multiply
    215,262x = 295,497 × 295,497
  4. Step 4: Simplify right side
    215,262x = 87,318,477,009
  5. Step 5: Solve for x
    x = 87,318,477,009/215,262
  6. Step 6: Final answer
    x = 405,638.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.