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Finding the Third Proportional to 160,080 and 349,674

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Solution

The third proportional to 160,080 and 349,674 is: 763,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,080 : 349,674 = 349,674 : x
  2. Step 2: Convert to fraction form
    160,080/349,674 = 349,674/x
  3. Step 3: Cross multiply
    160,080x = 349,674 × 349,674
  4. Step 4: Simplify right side
    160,080x = 122,271,906,276
  5. Step 5: Solve for x
    x = 122,271,906,276/160,080
  6. Step 6: Final answer
    x = 763,817.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.