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Finding the Third Proportional to 160,566.75 and 349,735.50

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Solution

The third proportional to 160,566.75 and 349,735.50 is: 761,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,566.75 : 349,735.50 = 349,735.50 : x
  2. Step 2: Convert to fraction form
    160,566.75/349,735.50 = 349,735.50/x
  3. Step 3: Cross multiply
    160,566.75x = 349,735.50 × 349,735.50
  4. Step 4: Simplify right side
    160,566.75x = 122,314,919,960.25
  5. Step 5: Solve for x
    x = 122,314,919,960.25/160,566.75
  6. Step 6: Final answer
    x = 761,769.92

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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.