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Finding the Third Proportional to 176,349.66 and 264,923.16

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Solution

The third proportional to 176,349.66 and 264,923.16 is: 397,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,349.66 : 264,923.16 = 264,923.16 : x
  2. Step 2: Convert to fraction form
    176,349.66/264,923.16 = 264,923.16/x
  3. Step 3: Cross multiply
    176,349.66x = 264,923.16 × 264,923.16
  4. Step 4: Simplify right side
    176,349.66x = 70,184,278,717.46
  5. Step 5: Solve for x
    x = 70,184,278,717.46/176,349.66
  6. Step 6: Final answer
    x = 397,983.64

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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.