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Finding the Third Proportional to 163,762 and 347,208

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Solution

The third proportional to 163,762 and 347,208 is: 736,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,762 : 347,208 = 347,208 : x
  2. Step 2: Convert to fraction form
    163,762/347,208 = 347,208/x
  3. Step 3: Cross multiply
    163,762x = 347,208 × 347,208
  4. Step 4: Simplify right side
    163,762x = 120,553,395,264
  5. Step 5: Solve for x
    x = 120,553,395,264/163,762
  6. Step 6: Final answer
    x = 736,149.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.