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Finding the Third Proportional to 151,960 and 324,426

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Solution

The third proportional to 151,960 and 324,426 is: 692,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,960 : 324,426 = 324,426 : x
  2. Step 2: Convert to fraction form
    151,960/324,426 = 324,426/x
  3. Step 3: Cross multiply
    151,960x = 324,426 × 324,426
  4. Step 4: Simplify right side
    151,960x = 105,252,229,476
  5. Step 5: Solve for x
    x = 105,252,229,476/151,960
  6. Step 6: Final answer
    x = 692,631.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.