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Finding the Third Proportional to 154,524 and 325,654

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Solution

The third proportional to 154,524 and 325,654 is: 686,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,524 : 325,654 = 325,654 : x
  2. Step 2: Convert to fraction form
    154,524/325,654 = 325,654/x
  3. Step 3: Cross multiply
    154,524x = 325,654 × 325,654
  4. Step 4: Simplify right side
    154,524x = 106,050,527,716
  5. Step 5: Solve for x
    x = 106,050,527,716/154,524
  6. Step 6: Final answer
    x = 686,304.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.