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Finding the Third Proportional to 160,828.31 and 236,563.88

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Solution

The third proportional to 160,828.31 and 236,563.88 is: 347,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,828.31 : 236,563.88 = 236,563.88 : x
  2. Step 2: Convert to fraction form
    160,828.31/236,563.88 = 236,563.88/x
  3. Step 3: Cross multiply
    160,828.31x = 236,563.88 × 236,563.88
  4. Step 4: Simplify right side
    160,828.31x = 55,962,466,955.02
  5. Step 5: Solve for x
    x = 55,962,466,955.02/160,828.31
  6. Step 6: Final answer
    x = 347,964.03

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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.