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Finding the Third Proportional to 176,203.50 and 265,083

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Solution

The third proportional to 176,203.50 and 265,083 is: 398,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,203.50 : 265,083 = 265,083 : x
  2. Step 2: Convert to fraction form
    176,203.50/265,083 = 265,083/x
  3. Step 3: Cross multiply
    176,203.50x = 265,083 × 265,083
  4. Step 4: Simplify right side
    176,203.50x = 70,268,996,889
  5. Step 5: Solve for x
    x = 70,268,996,889/176,203.50
  6. Step 6: Final answer
    x = 398,794.56

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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.