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Finding the Third Proportional to 102,454 and 223,588

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Solution

The third proportional to 102,454 and 223,588 is: 487,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,454 : 223,588 = 223,588 : x
  2. Step 2: Convert to fraction form
    102,454/223,588 = 223,588/x
  3. Step 3: Cross multiply
    102,454x = 223,588 × 223,588
  4. Step 4: Simplify right side
    102,454x = 49,991,593,744
  5. Step 5: Solve for x
    x = 49,991,593,744/102,454
  6. Step 6: Final answer
    x = 487,941.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.