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Finding the Third Proportional to 102,304 and 218,820

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Solution

The third proportional to 102,304 and 218,820 is: 468,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304 : 218,820 = 218,820 : x
  2. Step 2: Convert to fraction form
    102,304/218,820 = 218,820/x
  3. Step 3: Cross multiply
    102,304x = 218,820 × 218,820
  4. Step 4: Simplify right side
    102,304x = 47,882,192,400
  5. Step 5: Solve for x
    x = 47,882,192,400/102,304
  6. Step 6: Final answer
    x = 468,038.32

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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.