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Finding the Third Proportional to 119,461.50 and 256,629.94

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Solution

The third proportional to 119,461.50 and 256,629.94 is: 551,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,461.50 : 256,629.94 = 256,629.94 : x
  2. Step 2: Convert to fraction form
    119,461.50/256,629.94 = 256,629.94/x
  3. Step 3: Cross multiply
    119,461.50x = 256,629.94 × 256,629.94
  4. Step 4: Simplify right side
    119,461.50x = 65,858,924,821.25
  5. Step 5: Solve for x
    x = 65,858,924,821.25/119,461.50
  6. Step 6: Final answer
    x = 551,298.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.