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Finding the Third Proportional to 160,796.25 and 236,376.88

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Solution

The third proportional to 160,796.25 and 236,376.88 is: 347,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,796.25 : 236,376.88 = 236,376.88 : x
  2. Step 2: Convert to fraction form
    160,796.25/236,376.88 = 236,376.88/x
  3. Step 3: Cross multiply
    160,796.25x = 236,376.88 × 236,376.88
  4. Step 4: Simplify right side
    160,796.25x = 55,874,027,034.77
  5. Step 5: Solve for x
    x = 55,874,027,034.77/160,796.25
  6. Step 6: Final answer
    x = 347,483.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.