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Finding the Third Proportional to 243,093 and 384,617.25

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Solution

The third proportional to 243,093 and 384,617.25 is: 608,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,093 : 384,617.25 = 384,617.25 : x
  2. Step 2: Convert to fraction form
    243,093/384,617.25 = 384,617.25/x
  3. Step 3: Cross multiply
    243,093x = 384,617.25 × 384,617.25
  4. Step 4: Simplify right side
    243,093x = 147,930,428,997.56
  5. Step 5: Solve for x
    x = 147,930,428,997.56/243,093
  6. Step 6: Final answer
    x = 608,534.30

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.