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Finding the Third Proportional to 98,543 and 223,392

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Solution

The third proportional to 98,543 and 223,392 is: 506,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543 : 223,392 = 223,392 : x
  2. Step 2: Convert to fraction form
    98,543/223,392 = 223,392/x
  3. Step 3: Cross multiply
    98,543x = 223,392 × 223,392
  4. Step 4: Simplify right side
    98,543x = 49,903,985,664
  5. Step 5: Solve for x
    x = 49,903,985,664/98,543
  6. Step 6: Final answer
    x = 506,418.37

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.