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Finding the Third Proportional to 203,616 and 310,690

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Solution

The third proportional to 203,616 and 310,690 is: 474,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616 : 310,690 = 310,690 : x
  2. Step 2: Convert to fraction form
    203,616/310,690 = 310,690/x
  3. Step 3: Cross multiply
    203,616x = 310,690 × 310,690
  4. Step 4: Simplify right side
    203,616x = 96,528,276,100
  5. Step 5: Solve for x
    x = 96,528,276,100/203,616
  6. Step 6: Final answer
    x = 474,070.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.