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Finding the Third Proportional to 173,491 and 268,113

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Solution

The third proportional to 173,491 and 268,113 is: 414,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,491 : 268,113 = 268,113 : x
  2. Step 2: Convert to fraction form
    173,491/268,113 = 268,113/x
  3. Step 3: Cross multiply
    173,491x = 268,113 × 268,113
  4. Step 4: Simplify right side
    173,491x = 71,884,580,769
  5. Step 5: Solve for x
    x = 71,884,580,769/173,491
  6. Step 6: Final answer
    x = 414,341.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.