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Finding the Third Proportional to 176,288 and 264,816

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Solution

The third proportional to 176,288 and 264,816 is: 397,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,288 : 264,816 = 264,816 : x
  2. Step 2: Convert to fraction form
    176,288/264,816 = 264,816/x
  3. Step 3: Cross multiply
    176,288x = 264,816 × 264,816
  4. Step 4: Simplify right side
    176,288x = 70,127,513,856
  5. Step 5: Solve for x
    x = 70,127,513,856/176,288
  6. Step 6: Final answer
    x = 397,800.84

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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.