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Finding the Third Proportional to 155,930 and 342,546

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Solution

The third proportional to 155,930 and 342,546 is: 752,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,930 : 342,546 = 342,546 : x
  2. Step 2: Convert to fraction form
    155,930/342,546 = 342,546/x
  3. Step 3: Cross multiply
    155,930x = 342,546 × 342,546
  4. Step 4: Simplify right side
    155,930x = 117,337,762,116
  5. Step 5: Solve for x
    x = 117,337,762,116/155,930
  6. Step 6: Final answer
    x = 752,502.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.