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Finding the Third Proportional to 162,570 and 347,684

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Solution

The third proportional to 162,570 and 347,684 is: 743,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,570 : 347,684 = 347,684 : x
  2. Step 2: Convert to fraction form
    162,570/347,684 = 347,684/x
  3. Step 3: Cross multiply
    162,570x = 347,684 × 347,684
  4. Step 4: Simplify right side
    162,570x = 120,884,163,856
  5. Step 5: Solve for x
    x = 120,884,163,856/162,570
  6. Step 6: Final answer
    x = 743,582.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.