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Finding the Third Proportional to 138,463 and 300,254

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Solution

The third proportional to 138,463 and 300,254 is: 651,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,463 : 300,254 = 300,254 : x
  2. Step 2: Convert to fraction form
    138,463/300,254 = 300,254/x
  3. Step 3: Cross multiply
    138,463x = 300,254 × 300,254
  4. Step 4: Simplify right side
    138,463x = 90,152,464,516
  5. Step 5: Solve for x
    x = 90,152,464,516/138,463
  6. Step 6: Final answer
    x = 651,094.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.