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Finding the Third Proportional to 236,488 and 347,816

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Solution

The third proportional to 236,488 and 347,816 is: 511,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,488 : 347,816 = 347,816 : x
  2. Step 2: Convert to fraction form
    236,488/347,816 = 347,816/x
  3. Step 3: Cross multiply
    236,488x = 347,816 × 347,816
  4. Step 4: Simplify right side
    236,488x = 120,975,969,856
  5. Step 5: Solve for x
    x = 120,975,969,856/236,488
  6. Step 6: Final answer
    x = 511,552.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.