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Finding the Third Proportional to 245,838 and 336,442.50

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Solution

The third proportional to 245,838 and 336,442.50 is: 460,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,838 : 336,442.50 = 336,442.50 : x
  2. Step 2: Convert to fraction form
    245,838/336,442.50 = 336,442.50/x
  3. Step 3: Cross multiply
    245,838x = 336,442.50 × 336,442.50
  4. Step 4: Simplify right side
    245,838x = 113,193,555,806.25
  5. Step 5: Solve for x
    x = 113,193,555,806.25/245,838
  6. Step 6: Final answer
    x = 460,439.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.