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Finding the Third Proportional to 118,615.50 and 255,916.50

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Solution

The third proportional to 118,615.50 and 255,916.50 is: 552,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,615.50 : 255,916.50 = 255,916.50 : x
  2. Step 2: Convert to fraction form
    118,615.50/255,916.50 = 255,916.50/x
  3. Step 3: Cross multiply
    118,615.50x = 255,916.50 × 255,916.50
  4. Step 4: Simplify right side
    118,615.50x = 65,493,254,972.25
  5. Step 5: Solve for x
    x = 65,493,254,972.25/118,615.50
  6. Step 6: Final answer
    x = 552,147.53

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Why These Related Problems?

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