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Finding the Third Proportional to 128,728.75 and 280,342

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Solution

The third proportional to 128,728.75 and 280,342 is: 610,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,728.75 : 280,342 = 280,342 : x
  2. Step 2: Convert to fraction form
    128,728.75/280,342 = 280,342/x
  3. Step 3: Cross multiply
    128,728.75x = 280,342 × 280,342
  4. Step 4: Simplify right side
    128,728.75x = 78,591,636,964
  5. Step 5: Solve for x
    x = 78,591,636,964/128,728.75
  6. Step 6: Final answer
    x = 610,521.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.