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Finding the Third Proportional to 148,084 and 324,988

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Solution

The third proportional to 148,084 and 324,988 is: 713,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,084 : 324,988 = 324,988 : x
  2. Step 2: Convert to fraction form
    148,084/324,988 = 324,988/x
  3. Step 3: Cross multiply
    148,084x = 324,988 × 324,988
  4. Step 4: Simplify right side
    148,084x = 105,617,200,144
  5. Step 5: Solve for x
    x = 105,617,200,144/148,084
  6. Step 6: Final answer
    x = 713,224.93

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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.