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Finding the Third Proportional to 154,932.75 and 328,473.56

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Solution

The third proportional to 154,932.75 and 328,473.56 is: 696,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,932.75 : 328,473.56 = 328,473.56 : x
  2. Step 2: Convert to fraction form
    154,932.75/328,473.56 = 328,473.56/x
  3. Step 3: Cross multiply
    154,932.75x = 328,473.56 × 328,473.56
  4. Step 4: Simplify right side
    154,932.75x = 107,894,881,261.44
  5. Step 5: Solve for x
    x = 107,894,881,261.44/154,932.75
  6. Step 6: Final answer
    x = 696,398.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.