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Finding the Third Proportional to 163,577.25 and 239,965.88

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Solution

The third proportional to 163,577.25 and 239,965.88 is: 352,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,577.25 : 239,965.88 = 239,965.88 : x
  2. Step 2: Convert to fraction form
    163,577.25/239,965.88 = 239,965.88/x
  3. Step 3: Cross multiply
    163,577.25x = 239,965.88 × 239,965.88
  4. Step 4: Simplify right side
    163,577.25x = 57,583,621,164.52
  5. Step 5: Solve for x
    x = 57,583,621,164.52/163,577.25
  6. Step 6: Final answer
    x = 352,027.08

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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.