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Finding the Third Proportional to 113,365 and 247,453.25

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Solution

The third proportional to 113,365 and 247,453.25 is: 540,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,365 : 247,453.25 = 247,453.25 : x
  2. Step 2: Convert to fraction form
    113,365/247,453.25 = 247,453.25/x
  3. Step 3: Cross multiply
    113,365x = 247,453.25 × 247,453.25
  4. Step 4: Simplify right side
    113,365x = 61,233,110,935.56
  5. Step 5: Solve for x
    x = 61,233,110,935.56/113,365
  6. Step 6: Final answer
    x = 540,141.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.