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Finding the Third Proportional to 160,599 and 349,791

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Solution

The third proportional to 160,599 and 349,791 is: 761,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,599 : 349,791 = 349,791 : x
  2. Step 2: Convert to fraction form
    160,599/349,791 = 349,791/x
  3. Step 3: Cross multiply
    160,599x = 349,791 × 349,791
  4. Step 4: Simplify right side
    160,599x = 122,353,743,681
  5. Step 5: Solve for x
    x = 122,353,743,681/160,599
  6. Step 6: Final answer
    x = 761,858.69

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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.