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Finding the Third Proportional to 102,560 and 224,416

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Solution

The third proportional to 102,560 and 224,416 is: 491,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,560 : 224,416 = 224,416 : x
  2. Step 2: Convert to fraction form
    102,560/224,416 = 224,416/x
  3. Step 3: Cross multiply
    102,560x = 224,416 × 224,416
  4. Step 4: Simplify right side
    102,560x = 50,362,541,056
  5. Step 5: Solve for x
    x = 50,362,541,056/102,560
  6. Step 6: Final answer
    x = 491,054.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.