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Finding the Third Proportional to 203,304 and 316,028

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Solution

The third proportional to 203,304 and 316,028 is: 491,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,304 : 316,028 = 316,028 : x
  2. Step 2: Convert to fraction form
    203,304/316,028 = 316,028/x
  3. Step 3: Cross multiply
    203,304x = 316,028 × 316,028
  4. Step 4: Simplify right side
    203,304x = 99,873,696,784
  5. Step 5: Solve for x
    x = 99,873,696,784/203,304
  6. Step 6: Final answer
    x = 491,252.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.