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Finding the Third Proportional to 236,889 and 347,989.50

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Solution

The third proportional to 236,889 and 347,989.50 is: 511,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,889 : 347,989.50 = 347,989.50 : x
  2. Step 2: Convert to fraction form
    236,889/347,989.50 = 347,989.50/x
  3. Step 3: Cross multiply
    236,889x = 347,989.50 × 347,989.50
  4. Step 4: Simplify right side
    236,889x = 121,096,692,110.25
  5. Step 5: Solve for x
    x = 121,096,692,110.25/236,889
  6. Step 6: Final answer
    x = 511,195.93

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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.