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Finding the Third Proportional to 160,080 and 347,300

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Solution

The third proportional to 160,080 and 347,300 is: 753,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,080 : 347,300 = 347,300 : x
  2. Step 2: Convert to fraction form
    160,080/347,300 = 347,300/x
  3. Step 3: Cross multiply
    160,080x = 347,300 × 347,300
  4. Step 4: Simplify right side
    160,080x = 120,617,290,000
  5. Step 5: Solve for x
    x = 120,617,290,000/160,080
  6. Step 6: Final answer
    x = 753,481.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.