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Finding the Third Proportional to 236,888 and 347,988

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Solution

The third proportional to 236,888 and 347,988 is: 511,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,888 : 347,988 = 347,988 : x
  2. Step 2: Convert to fraction form
    236,888/347,988 = 347,988/x
  3. Step 3: Cross multiply
    236,888x = 347,988 × 347,988
  4. Step 4: Simplify right side
    236,888x = 121,095,648,144
  5. Step 5: Solve for x
    x = 121,095,648,144/236,888
  6. Step 6: Final answer
    x = 511,193.68

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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.