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Finding the Third Proportional to 160,453 and 343,677

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Solution

The third proportional to 160,453 and 343,677 is: 736,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,453 : 343,677 = 343,677 : x
  2. Step 2: Convert to fraction form
    160,453/343,677 = 343,677/x
  3. Step 3: Cross multiply
    160,453x = 343,677 × 343,677
  4. Step 4: Simplify right side
    160,453x = 118,113,880,329
  5. Step 5: Solve for x
    x = 118,113,880,329/160,453
  6. Step 6: Final answer
    x = 736,127.59

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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.