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Finding the Third Proportional to 201,355.88 and 272,489.06

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Solution

The third proportional to 201,355.88 and 272,489.06 is: 368,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,355.88 : 272,489.06 = 272,489.06 : x
  2. Step 2: Convert to fraction form
    201,355.88/272,489.06 = 272,489.06/x
  3. Step 3: Cross multiply
    201,355.88x = 272,489.06 × 272,489.06
  4. Step 4: Simplify right side
    201,355.88x = 74,250,289,182.13
  5. Step 5: Solve for x
    x = 74,250,289,182.13/201,355.88
  6. Step 6: Final answer
    x = 368,751.54

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