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Finding the Third Proportional to 257,588 and 339,534

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Solution

The third proportional to 257,588 and 339,534 is: 447,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,588 : 339,534 = 339,534 : x
  2. Step 2: Convert to fraction form
    257,588/339,534 = 339,534/x
  3. Step 3: Cross multiply
    257,588x = 339,534 × 339,534
  4. Step 4: Simplify right side
    257,588x = 115,283,337,156
  5. Step 5: Solve for x
    x = 115,283,337,156/257,588
  6. Step 6: Final answer
    x = 447,549.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.