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Finding the Third Proportional to 136,906 and 318,071

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Solution

The third proportional to 136,906 and 318,071 is: 738,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906 : 318,071 = 318,071 : x
  2. Step 2: Convert to fraction form
    136,906/318,071 = 318,071/x
  3. Step 3: Cross multiply
    136,906x = 318,071 × 318,071
  4. Step 4: Simplify right side
    136,906x = 101,169,161,041
  5. Step 5: Solve for x
    x = 101,169,161,041/136,906
  6. Step 6: Final answer
    x = 738,968.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.