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Finding the Third Proportional to 128,740.50 and 280,356

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Solution

The third proportional to 128,740.50 and 280,356 is: 610,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,740.50 : 280,356 = 280,356 : x
  2. Step 2: Convert to fraction form
    128,740.50/280,356 = 280,356/x
  3. Step 3: Cross multiply
    128,740.50x = 280,356 × 280,356
  4. Step 4: Simplify right side
    128,740.50x = 78,599,486,736
  5. Step 5: Solve for x
    x = 78,599,486,736/128,740.50
  6. Step 6: Final answer
    x = 610,526.50

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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.