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Finding the Third Proportional to 105,988 and 224,246

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Solution

The third proportional to 105,988 and 224,246 is: 474,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988 : 224,246 = 224,246 : x
  2. Step 2: Convert to fraction form
    105,988/224,246 = 224,246/x
  3. Step 3: Cross multiply
    105,988x = 224,246 × 224,246
  4. Step 4: Simplify right side
    105,988x = 50,286,268,516
  5. Step 5: Solve for x
    x = 50,286,268,516/105,988
  6. Step 6: Final answer
    x = 474,452.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.