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Finding the Third Proportional to 155,234 and 339,526

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Solution

The third proportional to 155,234 and 339,526 is: 742,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,234 : 339,526 = 339,526 : x
  2. Step 2: Convert to fraction form
    155,234/339,526 = 339,526/x
  3. Step 3: Cross multiply
    155,234x = 339,526 × 339,526
  4. Step 4: Simplify right side
    155,234x = 115,277,904,676
  5. Step 5: Solve for x
    x = 115,277,904,676/155,234
  6. Step 6: Final answer
    x = 742,607.32

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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.