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Finding the Third Proportional to 250,989 and 368,113

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Solution

The third proportional to 250,989 and 368,113 is: 539,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,989 : 368,113 = 368,113 : x
  2. Step 2: Convert to fraction form
    250,989/368,113 = 368,113/x
  3. Step 3: Cross multiply
    250,989x = 368,113 × 368,113
  4. Step 4: Simplify right side
    250,989x = 135,507,180,769
  5. Step 5: Solve for x
    x = 135,507,180,769/250,989
  6. Step 6: Final answer
    x = 539,892.91

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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.