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Finding the Third Proportional to 160,623 and 349,836.75

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Solution

The third proportional to 160,623 and 349,836.75 is: 761,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,623 : 349,836.75 = 349,836.75 : x
  2. Step 2: Convert to fraction form
    160,623/349,836.75 = 349,836.75/x
  3. Step 3: Cross multiply
    160,623x = 349,836.75 × 349,836.75
  4. Step 4: Simplify right side
    160,623x = 122,385,751,650.56
  5. Step 5: Solve for x
    x = 122,385,751,650.56/160,623
  6. Step 6: Final answer
    x = 761,944.13

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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.