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Finding the Third Proportional to 129,534 and 280,135

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Solution

The third proportional to 129,534 and 280,135 is: 605,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,534 : 280,135 = 280,135 : x
  2. Step 2: Convert to fraction form
    129,534/280,135 = 280,135/x
  3. Step 3: Cross multiply
    129,534x = 280,135 × 280,135
  4. Step 4: Simplify right side
    129,534x = 78,475,618,225
  5. Step 5: Solve for x
    x = 78,475,618,225/129,534
  6. Step 6: Final answer
    x = 605,830.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.