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Finding the Third Proportional to 176,035.50 and 264,892.50

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Solution

The third proportional to 176,035.50 and 264,892.50 is: 398,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,035.50 : 264,892.50 = 264,892.50 : x
  2. Step 2: Convert to fraction form
    176,035.50/264,892.50 = 264,892.50/x
  3. Step 3: Cross multiply
    176,035.50x = 264,892.50 × 264,892.50
  4. Step 4: Simplify right side
    176,035.50x = 70,168,036,556.25
  5. Step 5: Solve for x
    x = 70,168,036,556.25/176,035.50
  6. Step 6: Final answer
    x = 398,601.63

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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.