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Finding the Third Proportional to 102,435 and 223,548

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Solution

The third proportional to 102,435 and 223,548 is: 487,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,435 : 223,548 = 223,548 : x
  2. Step 2: Convert to fraction form
    102,435/223,548 = 223,548/x
  3. Step 3: Cross multiply
    102,435x = 223,548 × 223,548
  4. Step 4: Simplify right side
    102,435x = 49,973,708,304
  5. Step 5: Solve for x
    x = 49,973,708,304/102,435
  6. Step 6: Final answer
    x = 487,857.75

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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.