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Finding the Third Proportional to 173,671 and 352,169

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Solution

The third proportional to 173,671 and 352,169 is: 714,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,671 : 352,169 = 352,169 : x
  2. Step 2: Convert to fraction form
    173,671/352,169 = 352,169/x
  3. Step 3: Cross multiply
    173,671x = 352,169 × 352,169
  4. Step 4: Simplify right side
    173,671x = 124,023,004,561
  5. Step 5: Solve for x
    x = 124,023,004,561/173,671
  6. Step 6: Final answer
    x = 714,126.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.