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Finding the Third Proportional to 158,021 and 344,446

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Solution

The third proportional to 158,021 and 344,446 is: 750,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,021 : 344,446 = 344,446 : x
  2. Step 2: Convert to fraction form
    158,021/344,446 = 344,446/x
  3. Step 3: Cross multiply
    158,021x = 344,446 × 344,446
  4. Step 4: Simplify right side
    158,021x = 118,643,046,916
  5. Step 5: Solve for x
    x = 118,643,046,916/158,021
  6. Step 6: Final answer
    x = 750,805.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.