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Finding the Third Proportional to 160,845 and 343,774

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Solution

The third proportional to 160,845 and 343,774 is: 734,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,845 : 343,774 = 343,774 : x
  2. Step 2: Convert to fraction form
    160,845/343,774 = 343,774/x
  3. Step 3: Cross multiply
    160,845x = 343,774 × 343,774
  4. Step 4: Simplify right side
    160,845x = 118,180,563,076
  5. Step 5: Solve for x
    x = 118,180,563,076/160,845
  6. Step 6: Final answer
    x = 734,748.13

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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.