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Finding the Third Proportional to 102,400 and 224,482

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Solution

The third proportional to 102,400 and 224,482 is: 492,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,400 : 224,482 = 224,482 : x
  2. Step 2: Convert to fraction form
    102,400/224,482 = 224,482/x
  3. Step 3: Cross multiply
    102,400x = 224,482 × 224,482
  4. Step 4: Simplify right side
    102,400x = 50,392,168,324
  5. Step 5: Solve for x
    x = 50,392,168,324/102,400
  6. Step 6: Final answer
    x = 492,111.02

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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.