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Finding the Third Proportional to 133,058 and 286,852

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Solution

The third proportional to 133,058 and 286,852 is: 618,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058 : 286,852 = 286,852 : x
  2. Step 2: Convert to fraction form
    133,058/286,852 = 286,852/x
  3. Step 3: Cross multiply
    133,058x = 286,852 × 286,852
  4. Step 4: Simplify right side
    133,058x = 82,284,069,904
  5. Step 5: Solve for x
    x = 82,284,069,904/133,058
  6. Step 6: Final answer
    x = 618,407.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.