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Finding the Third Proportional to 165,024 and 257,394

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Solution

The third proportional to 165,024 and 257,394 is: 401,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,024 : 257,394 = 257,394 : x
  2. Step 2: Convert to fraction form
    165,024/257,394 = 257,394/x
  3. Step 3: Cross multiply
    165,024x = 257,394 × 257,394
  4. Step 4: Simplify right side
    165,024x = 66,251,671,236
  5. Step 5: Solve for x
    x = 66,251,671,236/165,024
  6. Step 6: Final answer
    x = 401,466.89

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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.