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Finding the Third Proportional to 98,496 and 237,456

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Solution

The third proportional to 98,496 and 237,456 is: 572,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496 : 237,456 = 237,456 : x
  2. Step 2: Convert to fraction form
    98,496/237,456 = 237,456/x
  3. Step 3: Cross multiply
    98,496x = 237,456 × 237,456
  4. Step 4: Simplify right side
    98,496x = 56,385,351,936
  5. Step 5: Solve for x
    x = 56,385,351,936/98,496
  6. Step 6: Final answer
    x = 572,463.37

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.