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Finding the Third Proportional to 160,584.75 and 352,941.75

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Solution

The third proportional to 160,584.75 and 352,941.75 is: 775,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,584.75 : 352,941.75 = 352,941.75 : x
  2. Step 2: Convert to fraction form
    160,584.75/352,941.75 = 352,941.75/x
  3. Step 3: Cross multiply
    160,584.75x = 352,941.75 × 352,941.75
  4. Step 4: Simplify right side
    160,584.75x = 124,567,878,893.06
  5. Step 5: Solve for x
    x = 124,567,878,893.06/160,584.75
  6. Step 6: Final answer
    x = 775,714.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.