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Finding the Third Proportional to 102,304 and 211,712

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Solution

The third proportional to 102,304 and 211,712 is: 438,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304 : 211,712 = 211,712 : x
  2. Step 2: Convert to fraction form
    102,304/211,712 = 211,712/x
  3. Step 3: Cross multiply
    102,304x = 211,712 × 211,712
  4. Step 4: Simplify right side
    102,304x = 44,821,970,944
  5. Step 5: Solve for x
    x = 44,821,970,944/102,304
  6. Step 6: Final answer
    x = 438,125.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.