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Finding the Third Proportional to 175,305 and 262,957.50

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Solution

The third proportional to 175,305 and 262,957.50 is: 394,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,305 : 262,957.50 = 262,957.50 : x
  2. Step 2: Convert to fraction form
    175,305/262,957.50 = 262,957.50/x
  3. Step 3: Cross multiply
    175,305x = 262,957.50 × 262,957.50
  4. Step 4: Simplify right side
    175,305x = 69,146,646,806.25
  5. Step 5: Solve for x
    x = 69,146,646,806.25/175,305
  6. Step 6: Final answer
    x = 394,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.