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Finding the Third Proportional to 146,437.13 and 319,725.75

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Solution

The third proportional to 146,437.13 and 319,725.75 is: 698,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,437.13 : 319,725.75 = 319,725.75 : x
  2. Step 2: Convert to fraction form
    146,437.13/319,725.75 = 319,725.75/x
  3. Step 3: Cross multiply
    146,437.13x = 319,725.75 × 319,725.75
  4. Step 4: Simplify right side
    146,437.13x = 102,224,555,213.06
  5. Step 5: Solve for x
    x = 102,224,555,213.06/146,437.13
  6. Step 6: Final answer
    x = 698,078.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.