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Finding the Third Proportional to 155,221 and 339,502

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Solution

The third proportional to 155,221 and 339,502 is: 742,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,221 : 339,502 = 339,502 : x
  2. Step 2: Convert to fraction form
    155,221/339,502 = 339,502/x
  3. Step 3: Cross multiply
    155,221x = 339,502 × 339,502
  4. Step 4: Simplify right side
    155,221x = 115,261,608,004
  5. Step 5: Solve for x
    x = 115,261,608,004/155,221
  6. Step 6: Final answer
    x = 742,564.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.