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Finding the Third Proportional to 136,244.16 and 318,226.50

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Solution

The third proportional to 136,244.16 and 318,226.50 is: 743,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,244.16 : 318,226.50 = 318,226.50 : x
  2. Step 2: Convert to fraction form
    136,244.16/318,226.50 = 318,226.50/x
  3. Step 3: Cross multiply
    136,244.16x = 318,226.50 × 318,226.50
  4. Step 4: Simplify right side
    136,244.16x = 101,268,105,302.25
  5. Step 5: Solve for x
    x = 101,268,105,302.25/136,244.16
  6. Step 6: Final answer
    x = 743,284.03

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Why These Related Problems?

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