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Finding the Third Proportional to 152,220.75 and 244,592.25

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Solution

The third proportional to 152,220.75 and 244,592.25 is: 393,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,220.75 : 244,592.25 = 244,592.25 : x
  2. Step 2: Convert to fraction form
    152,220.75/244,592.25 = 244,592.25/x
  3. Step 3: Cross multiply
    152,220.75x = 244,592.25 × 244,592.25
  4. Step 4: Simplify right side
    152,220.75x = 59,825,368,760.06
  5. Step 5: Solve for x
    x = 59,825,368,760.06/152,220.75
  6. Step 6: Final answer
    x = 393,017.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.