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Finding the Third Proportional to 160,716 and 348,194

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Solution

The third proportional to 160,716 and 348,194 is: 754,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,716 : 348,194 = 348,194 : x
  2. Step 2: Convert to fraction form
    160,716/348,194 = 348,194/x
  3. Step 3: Cross multiply
    160,716x = 348,194 × 348,194
  4. Step 4: Simplify right side
    160,716x = 121,239,061,636
  5. Step 5: Solve for x
    x = 121,239,061,636/160,716
  6. Step 6: Final answer
    x = 754,368.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.