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Finding the Third Proportional to 154,494 and 327,304.13

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Solution

The third proportional to 154,494 and 327,304.13 is: 693,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,494 : 327,304.13 = 327,304.13 : x
  2. Step 2: Convert to fraction form
    154,494/327,304.13 = 327,304.13/x
  3. Step 3: Cross multiply
    154,494x = 327,304.13 × 327,304.13
  4. Step 4: Simplify right side
    154,494x = 107,127,990,242.02
  5. Step 5: Solve for x
    x = 107,127,990,242.02/154,494
  6. Step 6: Final answer
    x = 693,411.98

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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.