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Finding the Third Proportional to 243,659 and 375,003

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Solution

The third proportional to 243,659 and 375,003 is: 577,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,659 : 375,003 = 375,003 : x
  2. Step 2: Convert to fraction form
    243,659/375,003 = 375,003/x
  3. Step 3: Cross multiply
    243,659x = 375,003 × 375,003
  4. Step 4: Simplify right side
    243,659x = 140,627,250,009
  5. Step 5: Solve for x
    x = 140,627,250,009/243,659
  6. Step 6: Final answer
    x = 577,147.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.