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Finding the Third Proportional to 134,322 and 282,436

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Solution

The third proportional to 134,322 and 282,436 is: 593,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,322 : 282,436 = 282,436 : x
  2. Step 2: Convert to fraction form
    134,322/282,436 = 282,436/x
  3. Step 3: Cross multiply
    134,322x = 282,436 × 282,436
  4. Step 4: Simplify right side
    134,322x = 79,770,094,096
  5. Step 5: Solve for x
    x = 79,770,094,096/134,322
  6. Step 6: Final answer
    x = 593,872.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.