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Finding the Third Proportional to 155,828.25 and 336,261.38

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Solution

The third proportional to 155,828.25 and 336,261.38 is: 725,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,828.25 : 336,261.38 = 336,261.38 : x
  2. Step 2: Convert to fraction form
    155,828.25/336,261.38 = 336,261.38/x
  3. Step 3: Cross multiply
    155,828.25x = 336,261.38 × 336,261.38
  4. Step 4: Simplify right side
    155,828.25x = 113,071,712,316.89
  5. Step 5: Solve for x
    x = 113,071,712,316.89/155,828.25
  6. Step 6: Final answer
    x = 725,617.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.