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Finding the Third Proportional to 160,836 and 348,888

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Solution

The third proportional to 160,836 and 348,888 is: 756,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,836 : 348,888 = 348,888 : x
  2. Step 2: Convert to fraction form
    160,836/348,888 = 348,888/x
  3. Step 3: Cross multiply
    160,836x = 348,888 × 348,888
  4. Step 4: Simplify right side
    160,836x = 121,722,836,544
  5. Step 5: Solve for x
    x = 121,722,836,544/160,836
  6. Step 6: Final answer
    x = 756,813.38

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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.