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Finding the Third Proportional to 160,929.28 and 236,464.31

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Solution

The third proportional to 160,929.28 and 236,464.31 is: 347,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,929.28 : 236,464.31 = 236,464.31 : x
  2. Step 2: Convert to fraction form
    160,929.28/236,464.31 = 236,464.31/x
  3. Step 3: Cross multiply
    160,929.28x = 236,464.31 × 236,464.31
  4. Step 4: Simplify right side
    160,929.28x = 55,915,371,086.10
  5. Step 5: Solve for x
    x = 55,915,371,086.10/160,929.28
  6. Step 6: Final answer
    x = 347,453.06

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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.