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Finding the Third Proportional to 152,163 and 237,456

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Solution

The third proportional to 152,163 and 237,456 is: 370,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163 : 237,456 = 237,456 : x
  2. Step 2: Convert to fraction form
    152,163/237,456 = 237,456/x
  3. Step 3: Cross multiply
    152,163x = 237,456 × 237,456
  4. Step 4: Simplify right side
    152,163x = 56,385,351,936
  5. Step 5: Solve for x
    x = 56,385,351,936/152,163
  6. Step 6: Final answer
    x = 370,558.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.