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Finding the Third Proportional to 152,224 and 244,598

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Solution

The third proportional to 152,224 and 244,598 is: 393,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,224 : 244,598 = 244,598 : x
  2. Step 2: Convert to fraction form
    152,224/244,598 = 244,598/x
  3. Step 3: Cross multiply
    152,224x = 244,598 × 244,598
  4. Step 4: Simplify right side
    152,224x = 59,828,181,604
  5. Step 5: Solve for x
    x = 59,828,181,604/152,224
  6. Step 6: Final answer
    x = 393,027.26

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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.