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Finding the Third Proportional to 113,949 and 245,403

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Solution

The third proportional to 113,949 and 245,403 is: 528,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,949 : 245,403 = 245,403 : x
  2. Step 2: Convert to fraction form
    113,949/245,403 = 245,403/x
  3. Step 3: Cross multiply
    113,949x = 245,403 × 245,403
  4. Step 4: Simplify right side
    113,949x = 60,222,632,409
  5. Step 5: Solve for x
    x = 60,222,632,409/113,949
  6. Step 6: Final answer
    x = 528,505.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.