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Finding the Third Proportional to 201,236.06 and 272,329.59

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Solution

The third proportional to 201,236.06 and 272,329.59 is: 368,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,236.06 : 272,329.59 = 272,329.59 : x
  2. Step 2: Convert to fraction form
    201,236.06/272,329.59 = 272,329.59/x
  3. Step 3: Cross multiply
    201,236.06x = 272,329.59 × 272,329.59
  4. Step 4: Simplify right side
    201,236.06x = 74,163,407,632.04
  5. Step 5: Solve for x
    x = 74,163,407,632.04/201,236.06
  6. Step 6: Final answer
    x = 368,539.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.