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Finding the Third Proportional to 155,766 and 240,546

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Solution

The third proportional to 155,766 and 240,546 is: 371,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,766 : 240,546 = 240,546 : x
  2. Step 2: Convert to fraction form
    155,766/240,546 = 240,546/x
  3. Step 3: Cross multiply
    155,766x = 240,546 × 240,546
  4. Step 4: Simplify right side
    155,766x = 57,862,378,116
  5. Step 5: Solve for x
    x = 57,862,378,116/155,766
  6. Step 6: Final answer
    x = 371,469.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.