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Finding the Third Proportional to 102,948 and 224,850

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Solution

The third proportional to 102,948 and 224,850 is: 491,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,948 : 224,850 = 224,850 : x
  2. Step 2: Convert to fraction form
    102,948/224,850 = 224,850/x
  3. Step 3: Cross multiply
    102,948x = 224,850 × 224,850
  4. Step 4: Simplify right side
    102,948x = 50,557,522,500
  5. Step 5: Solve for x
    x = 50,557,522,500/102,948
  6. Step 6: Final answer
    x = 491,097.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.