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Finding the Third Proportional to 119,946.50 and 256,501

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Solution

The third proportional to 119,946.50 and 256,501 is: 548,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,946.50 : 256,501 = 256,501 : x
  2. Step 2: Convert to fraction form
    119,946.50/256,501 = 256,501/x
  3. Step 3: Cross multiply
    119,946.50x = 256,501 × 256,501
  4. Step 4: Simplify right side
    119,946.50x = 65,792,763,001
  5. Step 5: Solve for x
    x = 65,792,763,001/119,946.50
  6. Step 6: Final answer
    x = 548,517.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.