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Finding the Third Proportional to 155,904 and 340,968

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Solution

The third proportional to 155,904 and 340,968 is: 745,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,904 : 340,968 = 340,968 : x
  2. Step 2: Convert to fraction form
    155,904/340,968 = 340,968/x
  3. Step 3: Cross multiply
    155,904x = 340,968 × 340,968
  4. Step 4: Simplify right side
    155,904x = 116,259,177,024
  5. Step 5: Solve for x
    x = 116,259,177,024/155,904
  6. Step 6: Final answer
    x = 745,710.03

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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.