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Finding the Third Proportional to 113,914 and 266,154

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Solution

The third proportional to 113,914 and 266,154 is: 621,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,914 : 266,154 = 266,154 : x
  2. Step 2: Convert to fraction form
    113,914/266,154 = 266,154/x
  3. Step 3: Cross multiply
    113,914x = 266,154 × 266,154
  4. Step 4: Simplify right side
    113,914x = 70,837,951,716
  5. Step 5: Solve for x
    x = 70,837,951,716/113,914
  6. Step 6: Final answer
    x = 621,854.66

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.