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Finding the Third Proportional to 203,430 and 314,992

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Solution

The third proportional to 203,430 and 314,992 is: 487,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430 : 314,992 = 314,992 : x
  2. Step 2: Convert to fraction form
    203,430/314,992 = 314,992/x
  3. Step 3: Cross multiply
    203,430x = 314,992 × 314,992
  4. Step 4: Simplify right side
    203,430x = 99,219,960,064
  5. Step 5: Solve for x
    x = 99,219,960,064/203,430
  6. Step 6: Final answer
    x = 487,735.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.