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Finding the Third Proportional to 160,769 and 349,787

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Solution

The third proportional to 160,769 and 349,787 is: 761,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,769 : 349,787 = 349,787 : x
  2. Step 2: Convert to fraction form
    160,769/349,787 = 349,787/x
  3. Step 3: Cross multiply
    160,769x = 349,787 × 349,787
  4. Step 4: Simplify right side
    160,769x = 122,350,945,369
  5. Step 5: Solve for x
    x = 122,350,945,369/160,769
  6. Step 6: Final answer
    x = 761,035.68

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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.