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Finding the Third Proportional to 145,879.73 and 314,261.65

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Solution

The third proportional to 145,879.73 and 314,261.65 is: 676,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,879.73 : 314,261.65 = 314,261.65 : x
  2. Step 2: Convert to fraction form
    145,879.73/314,261.65 = 314,261.65/x
  3. Step 3: Cross multiply
    145,879.73x = 314,261.65 × 314,261.65
  4. Step 4: Simplify right side
    145,879.73x = 98,760,383,678.65
  5. Step 5: Solve for x
    x = 98,760,383,678.65/145,879.73
  6. Step 6: Final answer
    x = 676,998.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.