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Finding the Third Proportional to 221,915 and 314,004.50

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Solution

The third proportional to 221,915 and 314,004.50 is: 444,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,915 : 314,004.50 = 314,004.50 : x
  2. Step 2: Convert to fraction form
    221,915/314,004.50 = 314,004.50/x
  3. Step 3: Cross multiply
    221,915x = 314,004.50 × 314,004.50
  4. Step 4: Simplify right side
    221,915x = 98,598,826,020.25
  5. Step 5: Solve for x
    x = 98,598,826,020.25/221,915
  6. Step 6: Final answer
    x = 444,308.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.