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Finding the Third Proportional to 157,896 and 346,896

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Solution

The third proportional to 157,896 and 346,896 is: 762,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896 : 346,896 = 346,896 : x
  2. Step 2: Convert to fraction form
    157,896/346,896 = 346,896/x
  3. Step 3: Cross multiply
    157,896x = 346,896 × 346,896
  4. Step 4: Simplify right side
    157,896x = 120,336,834,816
  5. Step 5: Solve for x
    x = 120,336,834,816/157,896
  6. Step 6: Final answer
    x = 762,127.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.