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Finding the Third Proportional to 165,576 and 358,800

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Solution

The third proportional to 165,576 and 358,800 is: 777,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,576 : 358,800 = 358,800 : x
  2. Step 2: Convert to fraction form
    165,576/358,800 = 358,800/x
  3. Step 3: Cross multiply
    165,576x = 358,800 × 358,800
  4. Step 4: Simplify right side
    165,576x = 128,737,440,000
  5. Step 5: Solve for x
    x = 128,737,440,000/165,576
  6. Step 6: Final answer
    x = 777,512.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.