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Finding the Third Proportional to 157,722 and 340,716

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Solution

The third proportional to 157,722 and 340,716 is: 736,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722 : 340,716 = 340,716 : x
  2. Step 2: Convert to fraction form
    157,722/340,716 = 340,716/x
  3. Step 3: Cross multiply
    157,722x = 340,716 × 340,716
  4. Step 4: Simplify right side
    157,722x = 116,087,392,656
  5. Step 5: Solve for x
    x = 116,087,392,656/157,722
  6. Step 6: Final answer
    x = 736,025.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.