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Finding the Third Proportional to 109,548 and 224,276

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Solution

The third proportional to 109,548 and 224,276 is: 459,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,548 : 224,276 = 224,276 : x
  2. Step 2: Convert to fraction form
    109,548/224,276 = 224,276/x
  3. Step 3: Cross multiply
    109,548x = 224,276 × 224,276
  4. Step 4: Simplify right side
    109,548x = 50,299,724,176
  5. Step 5: Solve for x
    x = 50,299,724,176/109,548
  6. Step 6: Final answer
    x = 459,156.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.