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Finding the Third Proportional to 130,503 and 279,954

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Solution

The third proportional to 130,503 and 279,954 is: 600,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,503 : 279,954 = 279,954 : x
  2. Step 2: Convert to fraction form
    130,503/279,954 = 279,954/x
  3. Step 3: Cross multiply
    130,503x = 279,954 × 279,954
  4. Step 4: Simplify right side
    130,503x = 78,374,242,116
  5. Step 5: Solve for x
    x = 78,374,242,116/130,503
  6. Step 6: Final answer
    x = 600,555.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.