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Finding the Third Proportional to 160,076 and 344,980

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Solution

The third proportional to 160,076 and 344,980 is: 743,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,076 : 344,980 = 344,980 : x
  2. Step 2: Convert to fraction form
    160,076/344,980 = 344,980/x
  3. Step 3: Cross multiply
    160,076x = 344,980 × 344,980
  4. Step 4: Simplify right side
    160,076x = 119,011,200,400
  5. Step 5: Solve for x
    x = 119,011,200,400/160,076
  6. Step 6: Final answer
    x = 743,466.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.