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Finding the Third Proportional to 152,220 and 244,592

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Solution

The third proportional to 152,220 and 244,592 is: 393,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,220 : 244,592 = 244,592 : x
  2. Step 2: Convert to fraction form
    152,220/244,592 = 244,592/x
  3. Step 3: Cross multiply
    152,220x = 244,592 × 244,592
  4. Step 4: Simplify right side
    152,220x = 59,825,246,464
  5. Step 5: Solve for x
    x = 59,825,246,464/152,220
  6. Step 6: Final answer
    x = 393,018.31

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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.