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Finding the Third Proportional to 160,078 and 344,984

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Solution

The third proportional to 160,078 and 344,984 is: 743,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,078 : 344,984 = 344,984 : x
  2. Step 2: Convert to fraction form
    160,078/344,984 = 344,984/x
  3. Step 3: Cross multiply
    160,078x = 344,984 × 344,984
  4. Step 4: Simplify right side
    160,078x = 119,013,960,256
  5. Step 5: Solve for x
    x = 119,013,960,256/160,078
  6. Step 6: Final answer
    x = 743,474.81

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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.