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Finding the Third Proportional to 176,399 and 264,995.50

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Solution

The third proportional to 176,399 and 264,995.50 is: 398,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,399 : 264,995.50 = 264,995.50 : x
  2. Step 2: Convert to fraction form
    176,399/264,995.50 = 264,995.50/x
  3. Step 3: Cross multiply
    176,399x = 264,995.50 × 264,995.50
  4. Step 4: Simplify right side
    176,399x = 70,222,615,020.25
  5. Step 5: Solve for x
    x = 70,222,615,020.25/176,399
  6. Step 6: Final answer
    x = 398,089.64

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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.