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Finding the Third Proportional to 221,914.13 and 314,003.25

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Solution

The third proportional to 221,914.13 and 314,003.25 is: 444,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,914.13 : 314,003.25 = 314,003.25 : x
  2. Step 2: Convert to fraction form
    221,914.13/314,003.25 = 314,003.25/x
  3. Step 3: Cross multiply
    221,914.13x = 314,003.25 × 314,003.25
  4. Step 4: Simplify right side
    221,914.13x = 98,598,041,010.56
  5. Step 5: Solve for x
    x = 98,598,041,010.56/221,914.13
  6. Step 6: Final answer
    x = 444,307.19

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Why These Related Problems?

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