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Finding the Third Proportional to 272,196 and 408,566.25

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Solution

The third proportional to 272,196 and 408,566.25 is: 613,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,196 : 408,566.25 = 408,566.25 : x
  2. Step 2: Convert to fraction form
    272,196/408,566.25 = 408,566.25/x
  3. Step 3: Cross multiply
    272,196x = 408,566.25 × 408,566.25
  4. Step 4: Simplify right side
    272,196x = 166,926,380,639.06
  5. Step 5: Solve for x
    x = 166,926,380,639.06/272,196
  6. Step 6: Final answer
    x = 613,258.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.