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Finding the Third Proportional to 104,858 and 224,548

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Solution

The third proportional to 104,858 and 224,548 is: 480,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,858 : 224,548 = 224,548 : x
  2. Step 2: Convert to fraction form
    104,858/224,548 = 224,548/x
  3. Step 3: Cross multiply
    104,858x = 224,548 × 224,548
  4. Step 4: Simplify right side
    104,858x = 50,421,804,304
  5. Step 5: Solve for x
    x = 50,421,804,304/104,858
  6. Step 6: Final answer
    x = 480,857.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.