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Finding the Third Proportional to 134,264 and 282,336

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Solution

The third proportional to 134,264 and 282,336 is: 593,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264 : 282,336 = 282,336 : x
  2. Step 2: Convert to fraction form
    134,264/282,336 = 282,336/x
  3. Step 3: Cross multiply
    134,264x = 282,336 × 282,336
  4. Step 4: Simplify right side
    134,264x = 79,713,616,896
  5. Step 5: Solve for x
    x = 79,713,616,896/134,264
  6. Step 6: Final answer
    x = 593,708.04

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