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Finding the Third Proportional to 160,930.13 and 236,468.25

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Solution

The third proportional to 160,930.13 and 236,468.25 is: 347,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,930.13 : 236,468.25 = 236,468.25 : x
  2. Step 2: Convert to fraction form
    160,930.13/236,468.25 = 236,468.25/x
  3. Step 3: Cross multiply
    160,930.13x = 236,468.25 × 236,468.25
  4. Step 4: Simplify right side
    160,930.13x = 55,917,233,258.06
  5. Step 5: Solve for x
    x = 55,917,233,258.06/160,930.13
  6. Step 6: Final answer
    x = 347,462.81

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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.