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Finding the Third Proportional to 133,083 and 305,437

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Solution

The third proportional to 133,083 and 305,437 is: 701,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083 : 305,437 = 305,437 : x
  2. Step 2: Convert to fraction form
    133,083/305,437 = 305,437/x
  3. Step 3: Cross multiply
    133,083x = 305,437 × 305,437
  4. Step 4: Simplify right side
    133,083x = 93,291,760,969
  5. Step 5: Solve for x
    x = 93,291,760,969/133,083
  6. Step 6: Final answer
    x = 701,004.34

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.