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Finding the Third Proportional to 136,055 and 317,710

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Solution

The third proportional to 136,055 and 317,710 is: 741,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,055 : 317,710 = 317,710 : x
  2. Step 2: Convert to fraction form
    136,055/317,710 = 317,710/x
  3. Step 3: Cross multiply
    136,055x = 317,710 × 317,710
  4. Step 4: Simplify right side
    136,055x = 100,939,644,100
  5. Step 5: Solve for x
    x = 100,939,644,100/136,055
  6. Step 6: Final answer
    x = 741,903.23

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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.