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Finding the Third Proportional to 160,764 and 343,671

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Solution

The third proportional to 160,764 and 343,671 is: 734,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,764 : 343,671 = 343,671 : x
  2. Step 2: Convert to fraction form
    160,764/343,671 = 343,671/x
  3. Step 3: Cross multiply
    160,764x = 343,671 × 343,671
  4. Step 4: Simplify right side
    160,764x = 118,109,756,241
  5. Step 5: Solve for x
    x = 118,109,756,241/160,764
  6. Step 6: Final answer
    x = 734,677.89

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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.