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Finding the Third Proportional to 160,611.75 and 349,834.50

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Solution

The third proportional to 160,611.75 and 349,834.50 is: 761,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,611.75 : 349,834.50 = 349,834.50 : x
  2. Step 2: Convert to fraction form
    160,611.75/349,834.50 = 349,834.50/x
  3. Step 3: Cross multiply
    160,611.75x = 349,834.50 × 349,834.50
  4. Step 4: Simplify right side
    160,611.75x = 122,384,177,390.25
  5. Step 5: Solve for x
    x = 122,384,177,390.25/160,611.75
  6. Step 6: Final answer
    x = 761,987.70

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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.