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Finding the Third Proportional to 267,948 and 369,113

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Solution

The third proportional to 267,948 and 369,113 is: 508,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,948 : 369,113 = 369,113 : x
  2. Step 2: Convert to fraction form
    267,948/369,113 = 369,113/x
  3. Step 3: Cross multiply
    267,948x = 369,113 × 369,113
  4. Step 4: Simplify right side
    267,948x = 136,244,406,769
  5. Step 5: Solve for x
    x = 136,244,406,769/267,948
  6. Step 6: Final answer
    x = 508,473.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.