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Finding the Third Proportional to 133,709.50 and 293,659

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Solution

The third proportional to 133,709.50 and 293,659 is: 644,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,709.50 : 293,659 = 293,659 : x
  2. Step 2: Convert to fraction form
    133,709.50/293,659 = 293,659/x
  3. Step 3: Cross multiply
    133,709.50x = 293,659 × 293,659
  4. Step 4: Simplify right side
    133,709.50x = 86,235,608,281
  5. Step 5: Solve for x
    x = 86,235,608,281/133,709.50
  6. Step 6: Final answer
    x = 644,947.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.