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Finding the Third Proportional to 133,461 and 207,852.75

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Solution

The third proportional to 133,461 and 207,852.75 is: 323,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,461 : 207,852.75 = 207,852.75 : x
  2. Step 2: Convert to fraction form
    133,461/207,852.75 = 207,852.75/x
  3. Step 3: Cross multiply
    133,461x = 207,852.75 × 207,852.75
  4. Step 4: Simplify right side
    133,461x = 43,202,765,682.56
  5. Step 5: Solve for x
    x = 43,202,765,682.56/133,461
  6. Step 6: Final answer
    x = 323,710.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.