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Finding the Third Proportional to 102,157 and 224,464

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Solution

The third proportional to 102,157 and 224,464 is: 493,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157 : 224,464 = 224,464 : x
  2. Step 2: Convert to fraction form
    102,157/224,464 = 224,464/x
  3. Step 3: Cross multiply
    102,157x = 224,464 × 224,464
  4. Step 4: Simplify right side
    102,157x = 50,384,087,296
  5. Step 5: Solve for x
    x = 50,384,087,296/102,157
  6. Step 6: Final answer
    x = 493,202.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.