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Finding the Third Proportional to 173,688 and 361,200

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Solution

The third proportional to 173,688 and 361,200 is: 751,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,688 : 361,200 = 361,200 : x
  2. Step 2: Convert to fraction form
    173,688/361,200 = 361,200/x
  3. Step 3: Cross multiply
    173,688x = 361,200 × 361,200
  4. Step 4: Simplify right side
    173,688x = 130,465,440,000
  5. Step 5: Solve for x
    x = 130,465,440,000/173,688
  6. Step 6: Final answer
    x = 751,148.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.